Quadratic Word Problems

What is the Vertex of the graph?

• (-4, -4)

• (0, 0)

• (-8, 0)

• (-2, -3)

The height of an object thrown into the air can be modeled by the formula h(t) = -16t² + 70t + 95, where h(t) is in feet after t seconds.
What is the height of the object after 5 seconds?

• 95 feet
• 45 feet
• 70 feet
• 171.56 feet

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

A ball is thrown into the air. Its height, h, after t seconds is given by the function

h = -16t² + 64t + 960.

How many seconds did it take for the ball to reach its maximum height?

• 10 seconds

• 64 seconds

• 960 seconds

• 2 seconds

A ball is thrown into the air. Its height, h, after t seconds is given by the function

h = -16t² + 64t + 960.

What is the maximum height?

• 960 feet

• 1008 feet

• 1024 feet

• 1152 feet

A ball is thrown into the air. Its height, h, after t seconds is given by the function

h = -16t² + 64t + 960.

When did the ball hit the ground?

• 10 seconds

• 2 seconds

• 5 seconds

• 7 seconds

What is the y-intercept of the graph?

• -8
• -4
• 1
• 0

Tags

CCSS.HSF-IF.C.7A

A ladder is placed 5 ft from the wall.  If the ladder is a 13 ft ladder, then how many feet above the ground is the ladder touching the wall.

• 12.5
• 12
• 11.9
• 11.8

The hypotenuse of a right triangle is 6 more than the shorter leg. The longer leg is three more than the shorter leg. Find the length of the shorter leg.

• 6

• 9

• 3

• 12

A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t² + 90t gives the height h of the ball after t seconds.

What is the maximum height of the ball?

• 126.56 ft

• 5.625 sec

• 2.81 sec

• 90 ft

Given the diagram above, find the dimensions of the rectangle if the area is 128 square feet.

• 8 x 16
• 1 x 7
• -15 x 9
• -8 x 16