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 =
