Question

describe how the graph of g(x) = -4(x) is related to the graph of the parent function. g(x) is a select choice of the parent function by a factor of 4 and a reflection across the select choice

Explanation:

Step1: Recall transformation rules

For a function $y = a\cdot f(x)$, if $|a|> 1$, it is a vertical stretch. If $a<0$, there is a reflection across the $x -$axis.

Step2: Analyze $g(x)=-4x$

The parent - function of $g(x)=-4x$ is $y = x$. The coefficient $a=-4$. Since $| - 4| = 4>1$, there is a vertical stretch by a factor of 4. And since $a=-4<0$, there is a reflection across the $x -$axis.

Answer:

vertical stretch; $x$-axis