Function Transformations

Describe the transformation that occurred

p(x) = f(x + 3)

• Right 3 units

• Vertical Stretch

• Up 3 units

• Left 3 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation that occurred.

h(x) = f(x) + 2

• up 2 units

• left 2 units

• Vertical Strech

• right 2 units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation that occurred.

w(x) = f(x - 7)

• Down 7

• Up 7

• Right 7

• vertical compression

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation that occurred

g(x) =2f(x)

• Up 2 units

• vertical compression

• vertical stretch

• Right 2 Units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Describe the transformation that occurred

h(x) = 1/5f(x)

• Up 5 Units

• vertical compression

• vertical stretch

• Down 5 Units

Tags

CCSS.HSF.BF.B.3

Describe the transformation from dotted to solid.

• f(x + 4)
• f(x - 4)
• f(x) + 4
• f(x) - 4

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a translation shifting f(x) 4 units up
• a translation shifting f(x) 4 units down
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

Which transformation will occur if f(x) = x² is replaced with 1/2⋅f(x)?

• Vertical Compression by a factor of 1/2
• Vertical Stretch by a factor of 1/2
• Vertical translation up by 2 units.
• Reflection across the x-axis.

Tags

CCSS.HSF.BF.B.3

Identify the transformation from the graph of f(x)=x² to the graph g(x)= x² - 5

• shifted up five units
• shifted down five units
• shifted left five units
• shifted right five units

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

Match the equation to its description.

• Right 2 and up 2
• Left 2 and up 2
• Right 2 and down 2
• Left 2 and down 2

Tags

CCSS.HSF-IF.C.7A