2/17 Quadratic Functions- Vertex, Solutions, Completing the

What is the vertex of the functions f(x) = x² - 8x + 11

• (-8, 11)

• (4, 5)

• (-4, -5)

• (4, -5)

What is the vertex form of the function f(x) = x² - 12x + 17?

• f(x) = (x + 6)² + 19

• f(x) = (x - 6)² + 53

• f(x) = (x - 6)² - 19

• f(x) = (x - 12)² - 19

Which of the following quadratic functions has an axis of symmetry at x = 7?

• f(x) = (x + 7)² -9

• f(x) = (x - 7)² -9

• f(x) = (x + 9)² - 7

• f(x) = (x + 9)² + 7

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What is the vertex of the quadratic f(x) = x² - 8x + 12?

• (-4, 4)

• (6, 0) and (2, 0)

• (0, 12)

• (4, -4)

What are the x-intercepts (solutions) of the graph of f(x) = x² - 7x - 18 ?

• (2, 0) and (9, 0)

• (−2, 0) and (9, 0)

• (2, 0) and (−9, 0)

• (−2, 0) and (−9, 0)

Solve the quadratic equation by factoring.

x² − 8x + 12 = 0

• x = 2

• x = 4

• x = 6

• x = 1

Tags

CCSS.HSA-REI.B.4B

What are the axis of symmetry and the vertex of the function f(x) = x² - 4x - 13?

• The axis of symmetry is x = 2 and the vertex is (2, −17).

• The axis of symmetry is x = -17 and the vertex is (2, −17).

• The axis of symmetry is x = -2 and the vertex is (-2, −17).

• The axis of symmetry is x = 2 and the vertex is (-2, −17).

Which of the following is a transformation of the graph y = (x - 5)² ? 

• Shifts right 5.
• Shifts left 5.
• Shifts up 5.
• Shifts down 5.

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Which of the following is a transformation of the graph y = x² + 4 ?

• Shifts left 4.
• Shifts right 4.
• Shifts up 4.
• Shifts down 4.

Tags

CCSS.HSF.BF.B.3

• y = -(x + 1)² - 4
• y = -(x + 1)² + 4
• y = -(x - 1)² - 4
• y = (x + 1)² + 4

Tags

CCSS.HSF-IF.C.7A