Function Transformations

The graph of b(x) is transformed using the equation h(x) = b(x − 2) − 3. Describe how the graph of b(x) changed to form the graph of h(x).

• Right 2, Down 3

• Right 2, Up 3

• Left 2, Down 3

• Left 3, Down 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

The graph of the function p(x) is represented below. On the same set of axes, sketch the function p(x + 2).

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• 
• 
• 

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

If the blue graph is
f(x) = x² 
the red must be...

• g(x) = (x + 3)²
• g(x) = (x - 3)²
• g(x) = x² + 3
• g(x) = x² - 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Describe the transformation.

• Down 1
• Reflect over y-axis
• Up 1
• Reflect over x-axis

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Describe the transformation

• Shifted down 2

• Shifted up 2

• Shifted left 2

• Shifted right 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Describe the transformation.

• Left 1unit, Reflect over x-axis, up 2 units

• Left 1unit, Reflect over y-axis, down 2 units

• Right 1 unit, Reflect over x-axis, up 2 units

• Right 1unit, Reflect over y-axis, up 2 units

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

What are the transformations for the graph of

the parent function f(x) = √x to the function above

• Vertical stretch; translated down 5 units

• Shifted right 2 units and down 5 units

• Vertical stretch; translated left 5 units

• Vertical compression; translated down 5

Tags

CCSS.HSF.BF.B.3

What is the minimum value of the function y=|x+3|-4

• -4

• 4

• 3

• -3

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the domain?

• all real numbers

• x ≥ 0

• x ≥ -1

• x ≤ -1

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

When is the function increasing?

• all real numbers

• x ≥ 0

• x ≥ -1

• x ≤ -1

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11