Quadratics

Convert
 f(x) = ⅔ (x + 3)² 
to standard form.

• f(x) = ⅔x² + 4x + 6
• f(x) = ⅔x² + 6x + 9
• f(x) = ⅔x² + 6
• f(x) = ⅔x² + 2x + 4

Convert
 f(x) = 2(x - 2)² +9
to standard form.

• f(x) = 2x² + 8x + 9
• f(x) = 2x² - 8x - 4
• f(x) = 2x² - 8x + 17
• f(x) = 2x² - 8x + 8

Which function is equivalent to
y = x² - 6x + 10?

• y = (x + 3)² - 1
• y = (x - 3)² + 1
• y = (x + 6)² - 10
• y = (x - 6)² + 10

Which of the following shows
f(x) = x² - 8x + 1
written in vertex form?

• f(x) = (x - 4)² - 15
• f(x) = (x - 4)² + 17
• f(x) = (x - 4)² - 17
• f(x) = (x - 4)² + 65

Find the vertex of f(x) = 2(x + 1)(x + 3)

• (2,30)

• (1,16)

• (-2,30)

• (-2,4)

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Find the axis of symmetry of f(x) = -(x + 2)(x - 4)

• y = 1

• x = 1

• y = -1

• x = -1

Does the equation open or or down? 
Y = -3x² +7x - 2

• up
• down

Tags

CCSS.HSF-IF.C.7A

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

• (-2, 16)
• (2, 0)
• (2, 4)
• (-2, 4)

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the y-intercept of 
f(x)=2x² + 4x + 6

• (6 , 0)
• (-6 , 0)
• (0, -6)
• (0 , 6)

What is the axis of symmetry for the following function
f(x) = 2x² - 2x + 3

• x = 1/2
• y = 1/2
• x = 3
• y = 3