Quadratics Review

What is the axis of symmetry for the following equation?

y=4x²-8x+9

• x = 5

• x=1

• y = 1

• y = 5

Tags

CCSS.HSA.REI.B.4

(4x+1)(5x−2)

• 20x² + 3x − 2
• 20x² − 11x + 5
• 20x² − 18x + 2
• 20x² − 3x − 2

Tags

CCSS.HSA.APR.A.1

(x + 3)(x + 7)

• x² + 10x + 21
• x² + 21
• x² + 4x + 21
• x² − 10x + 21

Tags

CCSS.HSA.APR.A.1

A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -8t² + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

• 1 foot

• 5 feet

• 7 feet

• 8 feet

• 12 feet

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air. The equation

h = -2t² + 7t + 4 models the toy's height, h, from the ground at t seconds after he threw it. How high is the toy after 1 second?

• 2

• 4

• 9

• 10

• 15

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

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 maximum fireworks get?

• 2.625

• 6.25

• 100

• 200

• 210.25

Find the vertex of 
f(x) = -x² - 4x + 12.

• (-2, 16)
• (-2, 14)
• (2, 4)
• (-2, 4)

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Determine the vertex for  y =  5x² - 20x + 13

• (5, -7)
• (-2, -7)
• (2, -7)
• (-7, -2)

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSG.GPE.A.1

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation

s(t) = –16t² + 64t + 80

What will be the object's maximum height?

• 2 ft

• 80 ft

• 144 ft

• 64 ft

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

You jump off a 24 foot high cliff and your fall is modeled by the function:

h(t) = -16t² + 8t + 24

How long would it take you to hit the water? (hint. maximum)

• 8 seconds

• 1 second

• 0.25 seconds

• 1/4 second