Algebra 2A Final Practice

What is the parent graph of

y = 1/4(x - 3)² - 2

and transformations have taken place on it?

• right 3 units, vertical shrink by a factor of 1/4, translation down 2 units

• up 3 units, vertical shrink by a factor of 1/4,translation right 2 units

• left 3 units, vertical stretch by a factor of 1/4,translation down 2 units

• right 3 units, vertical stretch by a factor of 1/4,translation up 2 units

Solve by factoring: x² -7x = -7x + 64

• 4, 16

• -16, 4

• -8, 0

• 8, -8

Which of the following functions is equivalent to the standard form function:

f(x) = 3x²+ 6x - 5,

but written in vertex form?

• f(x) = 3(x + 1)² - 8

• f(x) = 3(x - 1) ² - 8

• f(x) = 3(x + 2)² - 8

• f(x) = 3(x - 2)² - 8

(3a + 4)²

• 9a²+12a+16
• 9a²+24a+16
• 9a² + 16

• 9a² - 16

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

Tags

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.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 fireworks get?

• 2.625

• 6.25

• 100

• 200

• 210.25

Tags

CCSS.HSA.SSE.A.1

CCSS.HSA.REI.B.4

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height, in feet, is represented by the equation  s(t) = –16t² + 64t + 20, and t is in seconds. How long will it take for the object to hit the ground?

• 2 seconds

• 6.248 seconds

• 3 seconds

• 4.291 seconds

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up
• (5, 2); opens down
• (-5, 2); opens up
• (-5, 2); opens down

Tags

CCSS.HSF-IF.C.7A

What is the vertex of y=x²+4x+3?

• (2,1)
• (-2,1)
• (0,0)
• (-2,-1)

Tags

CCSS.HSA.SSE.A.1

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7