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

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

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

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

Consider the graph of g(x) = √x. Use your knowledge of rigid and nonrigid transformations to write an equation for the following description. Verify with a graphing utility.

The graph of g is vertically stretched by a factor of 7, reflected in the x-axis, and shifted four units upward.

h(x) =

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

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

g(x) =

Consider the graph of f(x) = x3. Use your knowledge of rigid and nonrigid transformations 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 =

Solutions

Expert Solution

milcah answered 2 years ago
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