Transformations of functions

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

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

Describe the transformation of y = g(x) for the function
y = 3g(x - 3) + 5

• Shifted up 5 units
  Shifted right 3 units
  Stretched vertically by a factor of 3
• Shifted up 5 units
  Shifted left 3 units
  Stretched vertically by a factor of 3
• Shifted down 5 units
  Shifted left 3 units
  Stretched vertically by a factor of 3
• Shifted down 5 units
  Shifted left 3 units
  Stretched vertically by a factor of 1/3

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

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

Which equation describes the transformation of shifting f(x)=x³ seven units up?

• x³+7
• x³-7
• (x-7)³
• (x+7)³

Tags

CCSS.HSF.BF.B.3

What are the transformations of this functions compared to the parent function y = √(x)?

• Shifted right 5, shifted down 2, and reflected over the x-axis
• Reflected over the x-axis, vertical stretch, and shifted right 5
• Reflected over the x-axis, vertical stretch, and shifted left 5
• Shifted right 5, shifted down 2

Tags

CCSS.HSF.BF.B.3

What is the equation of this graph?

• f(x) = (x + 2)² - 3
• f(x) = (x - 2)² - 3
• f(x) = |x + 2| - 3
• f(x) = |x - 2| - 3

Tags

CCSS.HSF-IF.C.7D

What is the equation of the graph?

• y = √(x - 3)
• y = √(x) + 3
• y = √(x - 5) + 4
• y = √(x + 5) + 4

Tags

CCSS.HSF-IF.C.7B

Tell how the function transformed from y =|x|
y = -2|x|

• Translated left 2 units
• Reflected over x-axis
• Stretched vertically and reflected over x-axis
• Compressed vertically and reflected over the x-axis

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

Describe the parent graph transformation

• stretch by 1/2, left 1, down 3
• stretch by 1/2, right 1, down 3
• compression by 1/2, left 1, down 3
• compression by 1/2, right 1, down 3

Tags

CCSS.HSF.BF.B.3