Question

(Algebra 2)
The graph of the absolute value parent function, f(x) = |x|, is stretched horizontally by a factor of 6 to create the graph of g(x). What function is g(x)?

A. g(x) = |6x|

B. g(x) = |x + 6|

C. g(x) = |1/6x|

D. g(x) = 6|x|

Answer 1

Check the picture below, the graphs of f(x) and g(x) are on the right-side.

$\stackrel{parent}{f(x)=|x|}\qquad \qquad g(x)=\stackrel{A}{1}\left|\stackrel{B}{\frac{1}{6}}x+\stackrel{C}{0}\right|+\stackrel{D}{0}~~ \implies ~~g(x)=\left| \frac{1}{6}x \right|$