Question 1

Graph the solution to the inequality on the real number line.   0">x2−6x+6>0x ^ { 2 } - 6 x + 6 > 0x2−6x+6>0

Accepted Answer

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Question 2

Graph  y=−12x2+2x−2y = - \frac { 1 } { 2 } x ^ { 2 } + 2 x - 2y=−21​x2+2x−2  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 3

Match the equation  y=(x+1) 2+3y = ( x + 1 )  ^ { 2 } + 3y=(x+1) 2+3  with its graph.

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 4

Write the equation of the parabola in standard form and find the vertex of its graph.  y=x2+10x+16y = x ^ { 2 } + 10 x + 16y=x2+10x+16

Accepted Answer

A)    y=(x+5) 2−9y = ( x + 5 )  ^ { 2 } - 9y=(x+5) 2−9  ; vertex:  (5,−41) ( 5 , - 41 ) (5,−41)  
B)    y=(x−5) 2+11y = ( x - 5 )  ^ { 2 } + 11y=(x−5) 2+11  ; vertex:  (5,41) ( 5,41 ) (5,41)  
C)    y=(x+8) (x+2) y = ( x + 8 )  ( x + 2 ) y=(x+8) (x+2)   ; vertex:  (10,16) ( 10,16 ) (10,16)  
D)    y=(x+5) 2−9y = ( x + 5 )  ^ { 2 } - 9y=(x+5) 2−9  ; vertex:  (−5,−9) ( - 5 , - 9 ) (−5,−9)  
E)    y=(x+5) 2+41y = ( x + 5 )  ^ { 2 } + 41y=(x+5) 2+41  ; vertex:  (−5,41) ( - 5,41 ) (−5,41)

Question 5

Graph the solution to the inequality on the real line.  3x−6≥−1\frac { 3 } { x - 6 } \geq - 1x−63​≥−1

Accepted Answer

A)   
B)   
C)   
D)   
E)  none of these

Question 6

Solve  2y(y−16) +5(y−16) =02 y ( y - 16 )  + 5 ( y - 16 )  = 02y(y−16) +5(y−16) =0  .

Accepted Answer

A)    y=16,y=−5y = 16 , y = - 5y=16,y=−5 
B)    y=−16,y=25y = - 16 , y = \frac { 2 } { 5 }y=−16,y=52​ 
C)    y=16,y=−52y = 16 , y = - \frac { 5 } { 2 }y=16,y=−25​ 
D)    y=16,y=−25y = 16 , y = - \frac { 2 } { 5 }y=16,y=−52​ 
E)    y=−16,y=−52y = - 16 , y = - \frac { 5 } { 2 }y=−16,y=−25​

Question 7

The height y in feet of a ball thrown by a child is modeled by  y=−0.1x2+2.5x+5y = - 0.1 x ^ { 2 } + 2.5 x + 5y=−0.1x2+2.5x+5  , where x is the horizontal distance in feet from where the ball is thrown. What is the maximum height of the ball? Round your answer to the nearest integer.

Accepted Answer

A)   7 feet
B)   11 feet
C)   21 feet
D)   35 feet
E)   52 feet

Question 8

Write  x(4−x) =14x ( 4 - x )  = 14x(4−x) =14  in general form.

Accepted Answer

A)    x2+4x−14=0x ^ { 2 } + 4 x - 14 = 0x2+4x−14=0 
B)    x2−4x+14=0x ^ { 2 } - 4 x + 14 = 0x2−4x+14=0 
C)    (4−x) =14x2( 4 - x )  = \frac { 14 } { x ^ { 2 } }(4−x) =x214​ 
D)    3x−14=03 x - 14 = 03x−14=0 
E)    x2+4x+14=0x ^ { 2 } + 4 x + 14 = 0x2+4x+14=0

Question 9

Solve the equation  (x2−13) 2+3(x2−13) −4=0\left( x ^ { 2 } - 13 \right)  ^ { 2 } + 3 \left( x ^ { 2 } - 13 \right)  - 4 = 0(x2−13) 2+3(x2−13) −4=0  . (Find all real and complex solutions.)

Accepted Answer

A)    ±3,±14i\pm 3 , \pm \sqrt { 14 } i±3,±14c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​i 
B)    ±13,±14i\pm 13 , \pm \sqrt { 14 } i±13,±14c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​i 
C)    ±3,±14\pm 3 , \pm \sqrt { 14 }±3,±14c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​ 
D)    ±13,±14i\pm 13 , \pm 14 i±13,±14i 
E)    ±9,±14\pm 9 , \pm 14±9,±14

Question 10

Find all real and complex solutions of the quadratic equation  x2+256=0x ^ { 2 } + 256 = 0x2+256=0  .

Accepted Answer

A)   -256
B)    ±256i\pm 256 i±256i 
C)    ±16\pm 16±16 
D)    ±16i\pm 16 i±16i 
E)    16i16 i16i

Question 11

Find the critical numbers.  y(y−7) −9(y−7) y ( y - 7 )  - 9 ( y - 7 ) y(y−7) −9(y−7)

Accepted Answer

A)    −7,−9- 7 , - 9−7,−9 
B)    7,97,97,9 
C)    0,70,70,7 
D)    7,−97 , - 97,−9 
E)    0,−70 , - 70,−7

Question 12

Solve the equation  7x2=637 x ^ { 2 } = 637x2=63  by using the Square Root Property.

Accepted Answer

A)    ±7\pm 7±7 
B)    ±3\pm 3±3 
C)    ±9\pm 9±9 
D)    7,37,37,3 
E)   9

Question 13

A service organization buys a block of tickets to a hockey game for $139 . After 5 more people decide to go to the game, the price per ticket is decreased by $1. How many people are going to the game?

Accepted Answer

A)   24 people
B)   34 people
C)   29 people
D)    535353  people
E)    323232  people

Question 14

Sketch the parabola given by  y=−2x2−12x−21y = - 2 x ^ { 2 } - 12 x - 21y=−2x2−12x−21  and then identify its vertex.

Accepted Answer

A)  vertex: (-2,-2)   
B)  vertex: (3,4)  
C)  vertex: (-2,-3)   
D)  vertex: (2,4)  
E)  vertex: (-3,-3)

Question 15

Find all real and complex solutions of the quadratic equation  6x2−5x=06 x ^ { 2 } - 5 x = 06x2−5x=0 .

Accepted Answer

A)    0,560,\frac { 5 } { 6 }0,65​ 
B)    0,56i0 , \frac { 5 } { 6 } i0,65​i 
C)    365\frac { 36 } { 5 }536​ 
D)    56i\frac { 5 } { 6 } i65​i 
E)    0,650 , \frac { 6 } { 5 }0,56​

Question 16

Determine all real values of x for which the function  7x2−13x+17 x ^ { 2 } - 13 x + 17x2−13x+1  has the value 3.

Accepted Answer

A)    −137±135714- \frac { 13 } { 7 } \pm \frac { 13 \sqrt { 57 } } { 14 }−713​±141357c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​ 
B)    1314±5714\frac { 13 } { 14 } \pm \frac { \sqrt { 57 } } { 14 }1413​±1457c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​ 
C)    137±13577\frac { 13 } { 7 } \pm \frac { 13 \sqrt { 57 } } { 7 }713​±71357c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​ 
D)    137±5714\frac { 13 } { 7 } \pm \frac { \sqrt { 57 } } { 14 }713​±1457c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​ 
E)    −1314±577- \frac { 13 } { 14 } \pm \frac { \sqrt { 57 } } { 7 }−1413​±757c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5,-221l0 -0c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47zM834 80h400000v40h-400000z'/>​​

Question 17

Graph the solution to the inequality on the real number line.   0">x(x+3) (x−3) >0x ( x + 3 )  ( x - 3 )  > 0x(x+3) (x−3) >0

Accepted Answer

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Question 18

An office contains two printers. Printer B takes 5 minutes longer than printer A to print the company s monthly financial report. With the two printers working, it takes 3.5 minutes to complete the report. How long (in minutes) would it take each printer individually to complete the report? Round your answer to two decimal places.

Accepted Answer

A)  Printer A: 4.12 minutes, Printer B: 10.12 minutes
B)  Printer A: 2.65 minutes, Printer B: 8.65 minutes
C)  Printer A: 5.3 minutes, Printer B: 10.3 minutes
D)  Printer A: 5.3 minutes, Printer B: 5.3 minutes
E)  Printer A: 6.3 minutes, Printer B: 10.12 minutes

Question 19

The height y (in feet) of a ball that you throw is given by  y=−1190x2+x+5y = - \frac { 1 } { 190 } x ^ { 2 } + x + 5y=−1901​x2+x+5  where x is the horizontal distance (in feet) from where you release the ball. How high is the ball when you release it?

Accepted Answer

A)   5 feet
B)   2.5 feet
C)   1 foot
D)   99 feet
E)    100100100  feet

Question 20

The height y in feet of a ball thrown by a child is modeled by  y=−0.1x2+7x+4y = - 0.1 x ^ { 2 } + 7 x + 4y=−0.1x2+7x+4  , where x is the horizontal distance in feet from where the ball is thrown. How high is the ball when it leaves the child s hand?

Accepted Answer

A)   0.4 foot
B)  0.1 foot
C)   13.9 feet
D)   11 feet
E)   4 feet

Exam 8: Quadratic Equations, Functions, and Inequalities

Graph the solution to the inequality on the real number line. $x ( x + 3 ) ( x - 3 ) > 0$

Correct Answer
verified

Find all real and complex solutions of the quadratic equation $6 x ^ { 2 } - 5 x = 0$ .

Correct Answer
verified

Graph the solution to the inequality on the real line. $\frac { 3 } { x - 6 } \geq - 1$

Correct Answer
verified

Graph $y = - \frac { 1 } { 2 } x ^ { 2 } + 2 x - 2$ .

Correct Answer
verified

Solve $2 y ( y - 16 ) + 5 ( y - 16 ) = 0$ .

Correct Answer
verified

A service organization buys a block of tickets to a hockey game for $139 . After 5 more people decide to go to the game, the price per ticket is decreased by $1. How many people are going to the game?

Correct Answer
verified

The height y in feet of a ball thrown by a child is modeled by $y = - 0.1 x ^ { 2 } + 7 x + 4$ , where x is the horizontal distance in feet from where the ball is thrown. How high is the ball when it leaves the child s hand?

Correct Answer
verified

Solve the equation $7 x ^ { 2 } = 63$ by using the Square Root Property.

Correct Answer
verified

Write the equation of the parabola in standard form and find the vertex of its graph. $y = x ^ { 2 } + 10 x + 16$

Correct Answer
verified

Match the equation $y = ( x + 1 ) ^ { 2 } + 3$ with its graph.

Correct Answer
verified

Find all real and complex solutions of the quadratic equation $x ^ { 2 } + 256 = 0$ .

Correct Answer
verified

Solve the equation $\left( x ^ { 2 } - 13 \right) ^ { 2 } + 3 \left( x ^ { 2 } - 13 \right) - 4 = 0$ . (Find all real and complex solutions.)

Correct Answer
verified

Determine all real values of x for which the function $7 x ^ { 2 } - 13 x + 1$ has the value 3.

Correct Answer
verified

Write $x ( 4 - x ) = 14$ in general form.

Correct Answer
verified

Graph the solution to the inequality on the real number line. $x ^ { 2 } - 6 x + 6 > 0$

Correct Answer
verified

The height y in feet of a ball thrown by a child is modeled by $y = - 0.1 x ^ { 2 } + 2.5 x + 5$ , where x is the horizontal distance in feet from where the ball is thrown. What is the maximum height of the ball? Round your answer to the nearest integer.

Correct Answer
verified

Sketch the parabola given by $y = - 2 x ^ { 2 } - 12 x - 21$ and then identify its vertex.

Correct Answer
verified

Find the critical numbers. $y ( y - 7 ) - 9 ( y - 7 )$

Correct Answer
verified

The height y (in feet) of a ball that you throw is given by $y = - \frac { 1 } { 190 } x ^ { 2 } + x + 5$ where x is the horizontal distance (in feet) from where you release the ball. How high is the ball when you release it?

Correct Answer
verified

Correct Answer
verified

Exam 8: Quadratic Equations, Functions, and Inequalities

Graph the solution to the inequality on the real number line. x(x+3) (x−3) >0x ( x + 3 ) ( x - 3 ) > 0x(x+3) (x−3) >0

Correct AnswerverifiedShow Answer

Find all real and complex solutions of the quadratic equation 6x2−5x=06 x ^ { 2 } - 5 x = 06x2−5x=0 .

Correct AnswerverifiedShow Answer

Graph the solution to the inequality on the real line. 3x−6≥−1\frac { 3 } { x - 6 } \geq - 1x−63​≥−1

Correct AnswerverifiedShow Answer

Graph y=−12x2+2x−2y = - \frac { 1 } { 2 } x ^ { 2 } + 2 x - 2y=−21​x2+2x−2 .

Correct AnswerverifiedShow Answer

Solve 2y(y−16) +5(y−16) =02 y ( y - 16 ) + 5 ( y - 16 ) = 02y(y−16) +5(y−16) =0 .

Correct AnswerverifiedShow Answer

A service organization buys a block of tickets to a hockey game for $139 . After 5 more people decide to go to the game, the price per ticket is decreased by $1. How many people are going to the game?

Correct AnswerverifiedShow Answer

The height y in feet of a ball thrown by a child is modeled by y=−0.1x2+7x+4y = - 0.1 x ^ { 2 } + 7 x + 4y=−0.1x2+7x+4 , where x is the horizontal distance in feet from where the ball is thrown. How high is the ball when it leaves the child s hand?

Correct AnswerverifiedShow Answer

Solve the equation 7x2=637 x ^ { 2 } = 637x2=63 by using the Square Root Property.

Correct AnswerverifiedShow Answer

Write the equation of the parabola in standard form and find the vertex of its graph. y=x2+10x+16y = x ^ { 2 } + 10 x + 16y=x2+10x+16

Correct AnswerverifiedShow Answer

Match the equation y=(x+1) 2+3y = ( x + 1 ) ^ { 2 } + 3y=(x+1) 2+3 with its graph.

Correct AnswerverifiedShow Answer

Find all real and complex solutions of the quadratic equation x2+256=0x ^ { 2 } + 256 = 0x2+256=0 .

Correct AnswerverifiedShow Answer

Solve the equation (x2−13) 2+3(x2−13) −4=0\left( x ^ { 2 } - 13 \right) ^ { 2 } + 3 \left( x ^ { 2 } - 13 \right) - 4 = 0(x2−13) 2+3(x2−13) −4=0 . (Find all real and complex solutions.)

Correct AnswerverifiedShow Answer

Determine all real values of x for which the function 7x2−13x+17 x ^ { 2 } - 13 x + 17x2−13x+1 has the value 3.

Correct AnswerverifiedShow Answer

Write x(4−x) =14x ( 4 - x ) = 14x(4−x) =14 in general form.

Correct AnswerverifiedShow Answer

Graph the solution to the inequality on the real number line. x2−6x+6>0x ^ { 2 } - 6 x + 6 > 0x2−6x+6>0

Correct AnswerverifiedShow Answer

The height y in feet of a ball thrown by a child is modeled by y=−0.1x2+2.5x+5y = - 0.1 x ^ { 2 } + 2.5 x + 5y=−0.1x2+2.5x+5 , where x is the horizontal distance in feet from where the ball is thrown. What is the maximum height of the ball? Round your answer to the nearest integer.

Correct AnswerverifiedShow Answer

Sketch the parabola given by y=−2x2−12x−21y = - 2 x ^ { 2 } - 12 x - 21y=−2x2−12x−21 and then identify its vertex.

Correct AnswerverifiedShow Answer

Find the critical numbers. y(y−7) −9(y−7) y ( y - 7 ) - 9 ( y - 7 ) y(y−7) −9(y−7)

Correct AnswerverifiedShow Answer

The height y (in feet) of a ball that you throw is given by y=−1190x2+x+5y = - \frac { 1 } { 190 } x ^ { 2 } + x + 5y=−1901​x2+x+5 where x is the horizontal distance (in feet) from where you release the ball. How high is the ball when you release it?

Correct AnswerverifiedShow Answer

Correct AnswerverifiedShow Answer

Graph the solution to the inequality on the real number line. $x ( x + 3 ) ( x - 3 ) > 0$

Correct Answer
verified

Find all real and complex solutions of the quadratic equation $6 x ^ { 2 } - 5 x = 0$ .

Correct Answer
verified

Graph the solution to the inequality on the real line. $\frac { 3 } { x - 6 } \geq - 1$

Correct Answer
verified

Graph $y = - \frac { 1 } { 2 } x ^ { 2 } + 2 x - 2$ .

Correct Answer
verified

Solve $2 y ( y - 16 ) + 5 ( y - 16 ) = 0$ .

Correct Answer
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The height y in feet of a ball thrown by a child is modeled by $y = - 0.1 x ^ { 2 } + 7 x + 4$ , where x is the horizontal distance in feet from where the ball is thrown. How high is the ball when it leaves the child s hand?

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Solve the equation $7 x ^ { 2 } = 63$ by using the Square Root Property.

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Write the equation of the parabola in standard form and find the vertex of its graph. $y = x ^ { 2 } + 10 x + 16$

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Match the equation $y = ( x + 1 ) ^ { 2 } + 3$ with its graph.

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Find all real and complex solutions of the quadratic equation $x ^ { 2 } + 256 = 0$ .

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Solve the equation $\left( x ^ { 2 } - 13 \right) ^ { 2 } + 3 \left( x ^ { 2 } - 13 \right) - 4 = 0$ . (Find all real and complex solutions.)

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Determine all real values of x for which the function $7 x ^ { 2 } - 13 x + 1$ has the value 3.

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Write $x ( 4 - x ) = 14$ in general form.

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Graph the solution to the inequality on the real number line. $x ^ { 2 } - 6 x + 6 > 0$

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The height y in feet of a ball thrown by a child is modeled by $y = - 0.1 x ^ { 2 } + 2.5 x + 5$ , where x is the horizontal distance in feet from where the ball is thrown. What is the maximum height of the ball? Round your answer to the nearest integer.

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Sketch the parabola given by $y = - 2 x ^ { 2 } - 12 x - 21$ and then identify its vertex.

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Find the critical numbers. $y ( y - 7 ) - 9 ( y - 7 )$

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The height y (in feet) of a ball that you throw is given by $y = - \frac { 1 } { 190 } x ^ { 2 } + x + 5$ where x is the horizontal distance (in feet) from where you release the ball. How high is the ball when you release it?

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Correct Answer
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