Consider the graph of f(x) = |x|. Use your knowledge of rigid and nonrigid transformations to...

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Consider the graph of f(x) = |x|. Useyour knowledge of rigid and nonrigid transformations to write anequation for the following description. Verify with a graphingutility.

The graph of f is reflected in the x-axis,shifted three units to the left, and shifted eleven unitsupward.

STEP 1:Reflect |x| about the x-axis.
g(x) =
STEP 2:Reflect |x| about the x-axis and shift threeunits to the left.
g(x) =
STEP 3:Reflect |x| about the x-axis, shift threeunits to the left, and shift eleven units upward.
g(x) =

Consider the graph of g(x) = √x. Useyour knowledge of rigid and nonrigid transformations to write anequation for the following description. Verify with a graphingutility.

The graph of g is vertically stretched by a factor of7, reflected in the x-axis, and shifted four unitsupward.

h(x) =

Consider the graph of f(x) = |x|. Useyour knowledge of rigid and nonrigid transformations to write anequation for the following description. Verify with a graphingutility.

The graph of f is vertically shrunk by a factor of 1/9and shifted three units to the left.

g(x) =

Consider the graph of f(x) =x3. Use your knowledge of rigid and nonrigidtransformations to write an equation for the following description.Verify with a graphing utility.

The graph of f is shifted twelve units to the left.

y =

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