Question

the graph of $y = |x|$ is scaled vertically by a factor of $\frac{1}{3}$. what is the equation of the new graph? choose 1 answer: a $y = |x| - 3$ b $y = -3|x|$ c $y = \frac{1}{3}|x|$ d $y = |x| - \frac{1}{3}$

Explanation:

Step1: Recall vertical scaling rule

For a function $y=f(x)$, vertical scaling by factor $k$ gives $y=kf(x)$.

Step2: Apply scaling to given function

Here, $f(x)=|x|$, $k=\frac{1}{3}$. Substitute to get $y=\frac{1}{3}|x|$.

Answer:

C. $y = \frac{1}{3}|x|$