Applying and analysing quadratic functions

The graph represents the height of a stone t seconds after it was tossed up by Lin. The function f given by :
 $f(t)=(-16t−8)(t−1)$ represents the height of a stone t seconds after it was thrown by Clare.  
Clare’s stone reached its maximum height  $\frac{1}{4}$   second after it was tossed. Did Clare’s stone reach a higher maximum than Lin’s stone?

• Lin's stone reached a higher maximum

• Clare's stone reached a higher maximum

• Both functions have the same maximum

A baseball was hit by the batter and went out to right field. The function $f\left(x\right)=-16x^2+128x+2$  where x is the time in seconds, and f(x) is the height. When does the ball land in the outfield?

• 8 seconds

• 4 seconds

• 258 seconds

• 2 seconds

A projectile bottle rocket is launched in the air. From what height was the bottle rocket launched?

• 200 feet

• 6.8 feet

• 3 feet

• 50 feet

Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec. This can be modeled with the function h(t) = -16t² + 96t. How many seconds is the rocket in the air?

• 3 sec.

• 4 sec.

• 5 sec.

• 6 sec.

A fountain shoots water in an arc over a lake that can be modeled by the graph of the equation y= -0.4x² + 8x where x is the horizontal distance (in feet) from the fountain base and y is the height (in feet) above the river.  How high does the water go?

• It goes 11.78 feet high
• It goes 20 feet high
• It goes 40 feet high
• It goes 10 feet high

A tomato is launched vertically from the ground into the air at an initial velocity of 48 feet per second. When does the tomato reach its maximum height? (Round to the nearest tenth.)

• All real numbers

What part of the parabola represents when an object is at maximum height?

• y-intercept

• x-intercept

• x-coordinate of the vertex

• y-coordinate of the vertex

Match the table with the correct equation:

x | y

-1.5 | 12

-1 | 25

-0.5 | 35

2.7 | 38

4.8| 58

• y = -.08x² + 5.94x +28.80

• y = -1.2x² + 3.2x +3.2

• y = 0.5x +9

• y = 0.7 x² + 2.7x +8.7

The height of a water balloon that is launched into the air is given by h(t) = -5x²+20x+25. When will the balloon explode on the ground?

• 5 seconds

• 1 second

• 2 seconds

• 3 seconds