Question

Which polynomial function is graphed below?

Answer 1

Answer:

Step-by-step explanation:

We know that the graph passes through the point $(1, 0)$, since the line crosses the X-axis at $x = 1$, so that means our equation has $(x - 1)$ in it. The graph also passes through the point $(-3, 0)$, so the equation also has $(x + 3)$ in it.

This narrows it down to options C and D.

When a graph "bounces" off the X-axis at a point, like it does at $x = -3$, this is called a "double zero", meaning two factors of the equation equal zero. This means that the graph has $(x + 3)^{2}$, leaving us with option D.