Quiz about Creating Quadratic Mathematical Models

Question 1

You and some friends went to a haunted house on Halloween. The mummy scared one friend so much that she jumped into the air! The equation $$h(t)=-4t^2+2t$$ models her jump where h is her height in feet t seconds after the mummy scares her. You want to find when she reached her maximum height -- what do you need to find on the parabola?

Accepted Answer

x-coordinate of the vertex

Answer

y-intercept

Answer

y-coordinate of the vertex

Answer

x-intercept

Question 2

A golf ball is hit and the equation $$h\left(t\right)=-6t^2+27t$$ models the golf ball's height in feet t seconds after the ball was hit. You want to know how long after being hit the ball reaches the maximum height -- what part of the parabola do you need to find?

Accepted Answer

x-coordinate of the vertex

Answer

y-intercept

Answer

y-coordinate of the vertex

Answer

x-intercept

Question 3

A diver jumps from a platform above a pool. His height above the water is modelec by the formula $$h\left(t\right)=−16t^2+8t+24$$ . You want to know how long it takes him to reach his maximum height -- what part of the parabola do you need to find?

Accepted Answer

x-coordinate of the vertex

Answer

y-intercept

Answer

y-coordinate of the vertex

Answer

x-intercept

Question 4

Mrs. K throws a stone off a bridge into a river below. The stone's height (in meters above the water), x seconds after shethrew it, is modeled by: $$h(x)=-5x^2+10x+15$$ . You need to know when the stone will hit the water -- what part of the parabola do you need to find?

Accepted Answer

x-intercept

Answer

y-intercept

Answer

x-coordinate of the vertex

Answer

y-coordinate of the vertex

Question 5

Question 5.

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 6

Which function best models the data?

Accepted Answer

$$y=-16.23x^2+283.75x-1.51$$

Answer

$$y=-1.51x^2+283.75x-16.23$$

Answer

$$y=-1.51x^2+16.23x-283.75$$

Answer

$$y=16.23x^2+283.75x-1.51$$

Question 7

A baseball coach records the height at every second of a ball thrown in the air. Some of the data appears in the table. Which equation is a quadratic model for the data?

Accepted Answer

$$h=-16t^2+80t$$

Answer

$$h=-48t^2+112t$$

Answer

$$h=-32t^2+80t$$

Answer

$$h=-16t^2+64t$$

Question 8

The height of a water balloon that is launched into the air is given by $$h(t)=-5x^2+20x+25$$ . You need to find the maximum height of the water balloon -- what part of the parabola do you need to find?

Accepted Answer

y-coordinate of the vertex

Answer

x-intercept

Answer

x-coordinate of the vertex

Answer

x-intercept

Question 9

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation $$h(t)=-6t^2+6t$$ where h is the frog's height at any given time, t. You want to know the time the frog is back on the ground -- what do you need to find on the parabola?

Accepted Answer

x-intercept

Answer

y-intercept

Answer

x-coordinate of the vertex

Answer

y-coordinate of the vertex

Question 10

A dolphin jumps from the water. The equation $$h\left(t\right)=-8t^2+16t$$ models the dolphin's height at any given time, t. You want to know the maximum height the dolphin jumps -- what do you need to find on the parabola?

Accepted Answer

y-coordinate of the vertex

Answer

y-intercept

Answer

x-coordinate of the vertex

Answer

x-intercept

Question 11

A lizard is jumping across the water in search of food. The equation $$h\left(t\right)=-12t^2+6t$$ models the lizard's height in feet above the water t seconds after he jumps. If you want to know how long after jumping until he is back on the water -- what do you need to find on the parabola?

Accepted Answer

x-intercept

Answer

y-intercept

Answer

x-coordinate of the vertex

Answer

y-coordinate of the vertex

Question 12

Your nephew is standing on a deck and tossing his toy up into the air. The equation
$$h\left(t\right)=-2t^2+7t+4$$ models the toy's height, h, from the ground at t seconds after he threw it. You want to know how tall the deck is -- what part of the parabola do you need to find?

Accepted Answer

y-intercept

Answer

x-coordinate of the vertex

Answer

y-coordinate of the vertex

Answer

x-intercept

Question 13

Fireworks are fired from the roof of a building. The equation $$h\left(t\right)=-16t^2+84t+100$$ models the height, h, of the fireworks at any given time, t. You want to know how high the building is -- what part of the parabola do you need to find?

Accepted Answer

y-intercept

Answer

x-coordinate of the vertex

Answer

y-coordinate of the vertex

Answer

x-intercept

Question 14

Your friend passes you the ball during a soccer game. The height off the ground is modeled by the equation $$h\left(t\right)=-4t^2+12t$$ . You want to know when the soccer ball will hit the ground -- what part of the parabola do you need to find?

Accepted Answer

x-intercept

Answer

y-intercept

Answer

x-coordinate of the vertex

Answer

y-coordinate of the vertex

Question 15

Rafael drops a ball from a third-story window. This equation $$h\left(t\right)=-5t^2+45$$ represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds. You need to know the initial height of the ball -- what part of the parabola do you need to find?

Accepted Answer

y-intercept

Answer

x-coordinate of the vertex

Answer

y-coordinate of the vertex

Answer

x-intercept

Question 16

find x for
2x²-8x-24=0

Accepted Answer

x= 6, -2

Answer

x= 2, -6

Answer

x= 4, 2

Answer

x= 2, 6

Question 17

Use the quadratic formula to solve 2x² + 2x - 12?

Accepted Answer

2, -3

Answer

-2, 3

Answer

2, 3

Answer

-2, -3

Question 18

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter

Accepted Answer

a=1, b=5, c=7

Answer

a=0, b=5, c=7

Answer

a=7, b=5, c=1

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