Question

describe the translation in $g(x)=x - 8$ as it relates to the graph of the parent function. $g(x)$ is a translation of the parent function 8 units select choice

Explanation:

Step1: Recall translation rule for linear functions

For a linear function $y = f(x)+k$, if $k<0$, the graph of the parent - function $y = f(x)$ is translated downwards by $|k|$ units. The parent function of $g(x)=x - 8$ is $f(x)=x$. Here, $g(x)=f(x)-8$.

Step2: Determine the direction of translation

Since $k=- 8<0$, the graph of the parent function $y = x$ is translated 8 units downwards.

Answer:

Downwards