Quadratics review

Standard Form of a Quadratic Equation :

• y = ax + b + c

• y = ax² + bx + c

• y = ax³ + bx² + cx + d

• y= mx + b

Does y = -4x² have a maximum or minimum value? Why?

• maximum because frowny faces have highest points

• minimum because frowny faces have highest points

• maximum because smiley faces have highest points

• minimum because smiley faces have highest points

Identify the vertex and whether the graph opens up (smiley face/valley) or down (frowny face/mountain).

• (-1, 4); opens up

• (-1, 4); opens down

• (1, 4); opens up

• (1, 4); opens down

Complete the square.
x² + 6x + ____

• x² + 6x + 9
• x² + 6x - 36
• x² + 6x + 36
• x² + 6x - 9

Tags

CCSS.HSA-REI.B.4B

Complete the square for
x² + 12x + ____

• x² + 12x + 144
• x² + 12x + 36
• x² + 12x - 36
• x² + +12x - 144

Tags

CCSS.HSA-REI.B.4B

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

• 4
• 2
• 8
• 20

Tags

CCSS.HSA-REI.B.4B

Which equation is the same as the one below after you draw and complete the square?

x² + 6x = 5

• (x + 3)² = 5

• (x + 6)² = 9

• (x + 3)² = 14

• (x + 6)² = 14

Solve x² = -16

• x = -4, 4

• x = -256, 256

• x = -16, 16

• No real solutions

Find the y-intercept of f(x) = 2x² - 2x + 1

• 2
• -2
• 1
• -1

Solve 2(x-1)² +5 = 37

• x= -3, 5

• x= -4, 4

• x= 3, 5

• x= 2, 6