Question

If you vertically compress the absolute value
parent function, f(x) = |x|, by a factor of 5, what
is the equation of the new function?
0 g(x) =15x|
0 g(x) = ⅕|x|
0 9(x) =1x-51
08(x) = =5|x|

Answer 1

When you vertically compress a function by a factor of \( k \), you multiply the function by \( \frac{1}{k} \). In this case, you are compressing the absolute value function \( f(x) = |x| \) by a factor of 5.

To find the new function \( g(x) \), you would multiply \( f(x) \) by \( \frac{1}{5} \):

\[
g(x) = \frac{1}{5}|x|
\]

Thus, the equation of the new function is:

\[
g(x) = \frac{1}{5}|x|
\]

Therefore, the correct choice is:

**g(x) = ⅕|x|**.