Building Quadratics

A rock is dropped from a bridge 320 ft. above a river. The pathway that the rock takes can be modeled by the equation

h(t) = -16t² + 320

How high will the rock be after 2 seconds?

• 212 ft

• 256 ft

• 320 ft

• 160 ft

What are the roots of the function?

• x = 4, -1

• (-4, 1)

• x = -4, 1

• (4, 0) (-1, 0)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

• -4, 2
• -2, 4
• -16
• -4

Tags

CCSS.HSA-REI.B.4B

What is the axis of symmetry for the following equation?
y=4x²-8x+9

• x=-8

• x=1

• x=-1

• x=2

Heather dropped a water balloon over the side of her school building from a height of 80 feet. The approximate height of the balloon at any point during its fall can be represented by the following quadratic equation: h = -16t^2 + 80 About how long did it take for the balloon to hit the ground?

• 1.73 seconds

• 2.24 seconds

• 2.45 seconds

• 2.83 seconds

Convert the equation f(x) = x² - 12x + 40 into vertex form

• f(x) = (x + 6)² - 4

• f(x) = (x + 6)² + 4

• f(x) = (x - 6)² - 4

• f(x) = (x - 6)² + 4

Which is the vertex of the function?

• (1,-1)

• (3,7)

• (-1,1)

• (0,-2)

Based on the table, which function can best be used to model this situation?

• h(t) = 99t² + 858

• h(t) = -4.9t² + 295t + 0.6

• h(t) = -4.9t² + 295t + 2

• h(t) = 99t² + 1,470.3

What is another word for zeros?

• y-intercepts

• roots

• vertex

• axis of symmetry

Tags

CCSS.HSF-IF.C.7C

How many solutions does the equation 4x² + 4x + 1 = 0 have?

• 0

• 1

• 2

• More than 2

Tags

CCSS.HSA-REI.B.4B