Quadratic Functions Optimization

Convert to vertex form:
f(x) = x² + 10x + 24

• f(x) = ( x - 5 )² + 1

• f(x) = ( x + 5 )² - 1

• f(x) = ( x - 5 )² - 1

• f(x) = ( x + 5 )² + 1

Find the missing value "c" to create a perfect square trinomial:
x² – 8x  + ___ 

• -4

• 16

• 4

• 8

Tags

CCSS.HSA-REI.B.4B

• A
• B
• C
• D

Tags

CCSS.8.EE.A.2

• -3, 4
• 3, 4
• -4, -3
• -3

Tags

CCSS.HSA-REI.B.4B

Let the graph of g be a translation 7 units right and 12 units up of the graph of f(x) = (x + 3)² - 8. Write a rule for g.

• g(x) = (x - 4)² + 4

• g(x) = (x + 10)² + 4

• g(x) = (x - 4)² - 20

• g(x) = (x + 10)² - 20

Identify the function graphed here.

Tags

CCSS.HSF-IF.C.7A

Identify the function graphed here.

Tags

CCSS.HSF-IF.C.7A

What is the y-intercept of this parabola?

• (6, 0)

• (-2, 0)

• (-4, -2)

• (0, 6)

Tags

CCSS.HSF-IF.C.7A

Let the graph of g be a translation 2 units down and 4 units left of the graph of f(x) = x². Write a rule for g.

• g(x) = (x - 4)² - 2

• g(x) = (x + 4)² - 2

• g(x) = (x - 4)² + 2

• g(x) = (x + 4)² + 2

Let the graph of g be a translation 7 units right and a reflection of the graph of f(x) = x². Write a rule for g.

• g(x) = -(x - 7)²

• g(x) = (x - 7)²

• g(x) = -(x + 7)²

• g(x) = (x + 7)²