Quadratics Unit Review

What is the vertex of
f(x) = (x - 1)² + 2?

• (-1, 2)

• (-1, -2)

• (1, 2)

• (1, -2)

What transformation has happened from f(x) = x² to f(x) = 2(x + 4)² ?

• The new function gets wider and shifts left 4 units.

• The new function gets narrower and shifts right 4 units.

• The new function gets wider and shifts right 4 units.

• The new function gets narrower and shifts left 4 units.

Which of the following shows
f(x) = x² + 12x - 2
written in vertex form?

• f(x) = (x + 6)² + 142

• f(x) = (x + 6)² - 34

• f(x) = (x + 6)² - 38

• f(x) = (x + 6)² + 34

Convert the equation y= (x+8)²+7 into standard form.

• y= x²+16x+71

• y= x²+8x+71

• y= x²+16x+64

• y= x²+15x+7

What is the next step in solving 
(x + 2)(x - 3) = 0      ?

• Plug in zero for x

• Solve for x

• Find a, b, c

• Set each factor equal to zero

Tags

CCSS.HSA-REI.B.4B

Which function is graphed above?

Tags

CCSS.HSF-IF.C.7A

• x=-11, x=4

• x=-7, x-44

• x=11, x=-4

• no solutions

Tags

CCSS.HSA-REI.B.4B

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

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

What transformation has happened from f(x) = x² to f(x) = x² + 6?

• The new function shifts down 6 units.

• The new function shifts up 6 units.

• The new function is narrower.

• The new function is wider.