Transformations of Graphs

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• The graph of g is a vertical translation 2 units up of the graph of f
• The graph of f is a horizontal translation two units left of g
• The graph of g is a vertical stretch by a factor of 2 of the graph of f
• The graph of g is a reflection of the graph of f

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

• The graph of g is a vertical translation 4 units up from the graph f
• The graph of g is a horizontal translation of the graph of f, 4 units right
• The graph of g is a horizontal translation of the graph of f, 4 units left
• The graph of g is a vertical stretch of the graph of f, by a factor of 7

If f(x) is the red graph and g(x) is the blue graph, what transformation changes f(x) to g(x)?

• translation

• rotation

• reflection

• vertical stretch

Given the function below - describe the transformation and

give the name of the parent function.

f(x) = -|x - 4| + 8

• Absolute Value

  Reflect

  Right 4

  Up 8

• Quadratic

  Right 4

  Up 8

• Absolute Value

  Right 4

  Up 8

• Absolute Value

  Reflect

  Left 4

  Up 8

The parent function is indicated by the dotted curve. Determine the correct equation for the function graphed.

• Square Root

  Left 5

  Up 2

• Cube Root

  Reflect

  Left 5

  Up 2

• Cube Root

  Right 5

  Up 2

• Square Root

  Reflect

  Left 5

  Up 2

Tags

CCSS.HSF-IF.C.7B

The parent function is indicated by the dotted curve. Determine the correct equation for the function graphed.

• Cubic

  Reflect

  Left 2

  Down 3

• Cube Root

  Reflect

  Right 2

  Down 3

• Cubic

  Reflect

  Right 2

  Down 3

• Cube Root

  Right 2

  Down 3

Tags

CCSS.HSF.BF.B.3