Question

Use the drawing tool(s) to form the correct answer on the provided graph.

Answer 1

In the attached, the dotted red graph is g(x). The solid black graph is the function shifted 5 units left.

Answer 2

Answer:

Points (-9,0) and (-4,0) represent zeros of the new function

Step-by-step explanation:

In the attached diagram the graph of the function $g(x)=x^2+3x-4$ is represented by the red curve.

When translating the graph of the function $g(x)$ 5 units to the left the function becomes

$f(x)=(x+5)^2+3(x+5)-4.$

The function $g(x)$ has zeros 1 and -4 (see attached diagram). Then zeros of the new function $f(x)$ are exactly 5 units shifted to the right zeros of the function $g(x).$ So, points $x=1-5=-4$ and $x=-4-5=-9$ represent zeros of the function $f(x).$