Answer:
Step-by-step explanation:
We know that the graph passes through the point [tex](1, 0)[/tex], since the line crosses the X-axis at [tex]x = 1[/tex], so that means our equation has [tex](x - 1)[/tex] in it. The graph also passes through the point [tex](-3, 0)[/tex], so the equation also has [tex](x + 3)[/tex] 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 [tex]x = -3[/tex], this is called a "double zero", meaning two factors of the equation equal zero. This means that the graph has [tex](x + 3)^{2}[/tex], leaving us with option D.
