Question

the graph of $y = |x|$ is scaled vertically by a factor of 6. what is the equation of the new graph? choose 1 answer: a $y = |x - 6|$ b $y = 6|x|$ c $y = \frac{1}{6}|x|$ d $y = \left|x - \frac{1}{6}\
ight|$

Explanation:

Step1: Recall vertical scaling rule

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

Step2: Apply to $y=|x|$

Here, $k=6$ and $f(x)=|x|$. Substitute to get $y=6|x|$.

Answer:

B. $y = 6|x|$