Building Quadratic Functions

The function, h(t) = -16t² + 8t + 24 models the height in feet of a person jumping off a cliff into a deep pool of water, t seconds after they jump. What is the time it takes to reach the water?

• 8

• 1

• 1.5

• 1/4

Fireworks are fired from the roof of a 100-foot building. The equation h = -16t² +84t + 100 models the height, h, of the fireworks at any given time, t. How high do the fireworks get?

• 2.625

• 6.25

• 100

• 200

• 210.25

Describe the transformations occurring to f(x) = x² + 5 if the

new equation after the transformations is

g(x) = (x - 3)² - 2

• Shifted right 3 units, shifted down 7 units

• Shifted left 3 units, shifted down 7 units

• Shifted right 3 units, shifted up 7 units

• Shifted left 3 units, shifted up 2 units

• Shifted right 3 units, shifted down 2 units

A toy rocket is launched from the top of a 48-foot hill. The rocket's height, h(x), is modeled by the

equation h(x) = -16x² + 32x +48 after x seconds. How high was the rocket at 2 seconds?

• 3

• 32

• 48

• 64

• 100

Which of the following mean the same as x-intercept? (More than one answer! Select all that are correct)

• Zero

• Root

• Axis of Symmetry

• Solution

• Maximum

If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation
h(t) = -16t² +128t  
When will the object reach its maximum height?

• 4 ft
• 0 seconds
• 0 ft
• 4 seconds

Which answer choice describes  y = -3x² +7x - 2 accurately?

• opens up with a maximum
• opens up with a minimum
• opens down with a maximum
• opens down with a minimum 

y=2x²-6x+1 is in what form?

• Vertex Form
• Factored form
• Standard Form 
• Cannot be determined

What is the vertex form of this quadratic?

• f(x) = -(x + 2)² - 4
• f(x) = (x - 2)² + 4
• f(x) = (x - 2)² - 4
• f(x) = -(x - 2)² - 4

What is the vertex of
f(x) = 2(x - 5)² + 12

• (-5, -12)
• (5,-12)
• (5, 12)
• (-5, 12)