Graph the following function: y=(1/3).|x|.Then analyze the effect on the graph of the parent function f(x) = |x|.

Question

Graph the following function: y=(1/3).|x|

Then analyze the effect on the graph of the parent function f(x) = |x|.

Answer 1

Hey Ishika,

In this question, we are looking at transformations of graphs. The parent function is f(x) = |x| , and they ask you to describe what happens to the function when f(x) = 1/3 multiplied by |x|. When you have any number multiplying the |x| , this is called a dilation. The graph is either vertically stretched or vertically compressed. In this case, the coefficient is 1/3, therefore the parent function is being vertically compressed by a factor of 1/3.