Unit 3.5-3.6 Test Review

1. Given the standard form of a parabola, 
y = 2x² + 12x + 26, determine the vertex form.

• y = (x + 6)² − 10
• y = 2(x + 3)² + 8
• y = 2(x + 6)² − 10
• y = 2(x − 3)² + 8

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

3. Find the vertex of the quadratic:
y = -2x² + 4x + 3

• (0, 3)
• (1, 5)
• (-1, 5)
• (1, -5)

Tags

CCSS.HSA.REI.B.4

5. What is the vertex of the quadratic function: y=1/2(x-3)²+8?

• (3,8)
• (-3,8)
• (-3,-8)
• no changes were made to y = x²

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

6. Which of the following quadratic equations have transformed from the parent function f(x) = x² by a reflection, vertical shrink, translation left and translation up?

• f(x) = -2(x – 5)² + 4
• f(x) = -½(x – 5)² + 4 
• A.  f(x) = -2(x + 5)² + 4
• f(x) = -½(x + 5)² + 4

Tags

CCSS.HSF.BF.B.3

20. Find the zeros of the equation: 
x² - 8x +15 = 0

• -3 and -5
• -5 and 3
• 3 and 5
• -3 and 5

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

• (5, -4)
• (-5, -4)
• (-15, -4)
• (15, -4)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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 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

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.5

What is the equation of the axis of symmetry?

• y = 0

• x = 0

• x = 3

• x = -3

Tags

CCSS.HSF-IF.C.7A

Determine the domain and range of the function

• Domain: All real numbers, Range: All real numbers

• Domain: x ≥ -4, Range: All real numbers

• Domain: All real numbers, Range: y ≥ -4

• Domain: -1 ≤ x ≤ 5, Range: y ≥ -4

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5