Chapter 2 Test Review_Alg2

What is the vertex form of a quadratic function?

• f(x) = 2a(x-h)² + k

• f(x) = a(x-h)² + k

• f(x) = (x+h)² + k

• f(x) = a(x-h) - k

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

CCSS.HSF.BF.A.1

What is the axis of symmetry in the function f(x) = (x-1)² +2

• x = 1

• x = -1

• x = 2

• x = -2

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Identify the maximum or minimum and the domain of the function y = -2(x+1)² + 4

• Max: 4, Domain: All Real Numbers

• Min: -4, Domain: All Real Numbers

• Max: 2, Domain: All real numbers when x is greater than 4

• Min: -2, Domain: All real numbers when x is less than 4

Does the function y = (x+2)² have a maximum or minimum?

• Maximum

• Minimum

• Both

• Neither

Tags

CCSS.HSF-IF.C.7A

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• Vertical shrink by 2, translated 2 units left and 5 down

• Vertical stretch by 5, translated 5 units left and 2 down

• Vertical stretch by 2, translated 2 units left and 5 down

• Vertical shrink by 5, translated 2 units left and 2 down

What steps transform the graph y = x² to y = -1/2(x-4)² + 1?

• vertical shrink by 1/2, translated 4 units right and 1 unit up

• Reflected across x-axis, vertical shrink by 1/2, translated 4 units right and 1 unit up

• Reflected across x-axis, vertical stretch by 1/2, translated 4 units left and 1 unit up

• vertical stretch by 1/2, translated 4 units right and 1 unit down

Identify the vertex of f(x) = 5(x+6)² - 7

• (5,6)

• (0,0)

• (6,-7)

• (-6,-7)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

What steps transform the graph y = x² to y = (x-4)²

• translated down 4 units

• translated left 4 units

• translated right 4 units

• translated up 4 units

What steps transform the graph y = x² to y = x² + 8

• translated up 8 units

• translated down 8 units

• translated left 8 units

• translated right 8 units

If given the equation

y = 3(x + 5)² - 4,

when is the graph increasing?

• (-∞, -5)

• (-5, ∞)

• (-∞, -4)

• (-4, ∞)