Chapter 8 - Graphing Quadratic Functions - 8.5 - Using Intercept Form - Exercises - Page 455: 33

Graph $C$

Given the function: $$y=(x-5)(x+3)$$ Rewrite it in the form $y=a(x-p)(x-q)$: $$y=(x-5)(x-(-3))$$ It follows that the $x$-intercepts are $5$ and $-3$. The graph which intersects the $x$-axis at $x=5$ and $x=-3$ is graph $C$.