What effect does a 1 have on the graph of f(x) = |x|?

A. The graph will be fatter than the parent function.
B. The graph will be thinner than the parent function.
C. The graph will be fatter than the parent function and flip over the x-axis.
D. The graph will be thinner than the parent function and flip over the x-axis.

Question

What effect does a > 1 have on the graph of f(x) = |x|?

	A.	The graph will be fatter than the parent function.
	B.	The graph will be thinner than the parent function.
	C.	The graph will be fatter than the parent function and flip over the x-axis.
	D.	The graph will be thinner than the parent function and flip over the x-axis.

btaylor · Answer

Think of an a-value on x^2. With 2x^2, we have a much thinner parabola. The same is true with absolute value, but the graph has a different shape. B is the best answer.