In: Math
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 =