Question

the graph of $f(x) = x$ was transformed to create the graph of $g(x) = f(x + 5)$. what is the graph of $g$? select two points on the coordinate grid. a line will connect the points.

Explanation:

Step1: Define $g(x)$ explicitly

Substitute $f(x)=x$ into $g(x)=f(x+5)$:
$g(x) = (x + 5) = x + 5$

Step2: Find first point on $g(x)$

Set $x=-5$, solve for $g(x)$:
$g(-5) = -5 + 5 = 0$
This gives the point $(-5, 0)$.

Step3: Find second point on $g(x)$

Set $x=0$, solve for $g(x)$:
$g(0) = 0 + 5 = 5$
This gives the point $(0, 5)$.

Step4: Graph the line

Connect the points $(-5, 0)$ and $(0, 5)$ to form $g(x)$.

Answer:

Two points on $g(x)$ are $(-5, 0)$ and $(0, 5)$; the line connecting them is the graph of $g(x)$.