Answer
$y = (x - 5)(x + 3)$
Work Step by Step
Substituting $y=0$ in the equation, we obtain the $x$-intercepts of the curve.
From the graph we notice that there are two $x$-intercepts: one positioned on the right side of the $x$-axis and one on the left side, therefore one $x$-intercept is positive, while the other is negative. Because the positive $x$-intercept is further from the origin that the negative one, it means that the two $x$-intercepts are $$x=-3\text{ and }x=5.$$ Thus the equation is given by $$y=(x-5)(x+3).$$