Interpreting Quadratics

A highway underpass is parabolic in shape. If the curve of the underpass can be modeled by h(x) = 50 – 0.02x^2, where x and h(x) are in feet, then how high is the highest point of the underpass?

• 50 feet

• 100 feet

• -50 feet

• 25 feet

A highway underpass is parabolic in shape. If the curve of the underpass can be modeled by h(x) = 50 – 0.02x2, where x and h(x) are in feet, then how wide is the underpass?

• 50 feet

• 100 feet

• -50 feet

• 25 feet

A water-balloon is thrown off the top of a building that is 64 feet tall. This is represented by f(t)=–16t^2 + 48t + 64.

What do the x-values of the given scenario represent?

• The starting height of the function.

• The height that the water-balloon starts at from the building.

• How height that the water-balloon is from the ground.

• The time that the water-balloon is in the air.

A water-balloon is thrown off the top of a building that is 64 feet tall. This is represented by f(t)=–16t^2 + 48t + 64.

What do the y-values of the given scenario represent?

• The starting height of the function.

• The height that the water-balloon starts at from the building.

• How height that the water-balloon is from the ground.

• The time that the water-balloon is in the air.

A water-balloon is thrown off the top of a building that is 64 feet tall. This is represented by f(t)=–16t^2 + 48t + 64.

How long is the balloon in the air?

• 4 seconds

• 10 seconds

• 2 seconds

• 64 seconds

What does the domain mean in the context of the problem?

• The time that the ball is on the ground.

• The far the ball is thrown.

• The height that the ball reaches.

• How long the ball is in the air.

Check all solutions of this graph

• (2, -4)

• (-2, 4)

• (4, -2)

• (6, 3)

• (3, 6)

Tags

CCSS.HSF-IF.C.7A

Check all solutions of this graph.

• (-4, 0)

• (0, -4)

• (4, -2)

• (-2, 4)

• (2, 4)

Which equation has a solution of (2, -5)?

• f(x) = 3x² - 7x - 3

• f(x) = 3x² - 7x + 3

• f(x) = 3x² - 7x + 8

• f(x) = 3x² - 7x - 5

Tags

CCSS.HSF.IF.A.2

A ball is kicked upward.  Its maximum height of 40 feet occurs after 2.5 seconds.  Which function models this behavior?

• h(t) = - 16(t + 2.5) + 40

• h(t) = - 16(t - 2.5) + 40

• h(t) = - 16(t - 2.5)² + 40

• h(t) = - 16(t + 2.5)² + 40