What transformations produce the graph of g(x)=- | 3x | from the graph of the parent function f(x)=|x| Select all that apply
2 answers:
Answer:
<h2>Horizontal compression by a factor of 3.</h2><h2>Reflection over the x-axis.</h2>Step-by-step explanation:
The parent function is
The transformed function is
Notice that the transformation involves to multiply the function with -1 and multiply the independent variable by 3.
Remember, if we multiple the independent variable by a number greater than 1, then the function will compress horizontally, that is, in the direction of x-axis.
Additionally, if we multiply the function by a negative number as -1, the function graph will reflect across the x-axis.
The image attached shows these transfomations.
Therefore, the right answers are:
- Horizontal compression by a factor of 3.
- Reflection over the x-axis.
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