Answer:
B, D, and E.
Step-by-step explanation:
We are given the graph:
We can expand the equation into standard form:
Since the leading coefficient is positive, our parabola curves up. Hence, it has a relative minimum.
The <em>x-</em>intercepts of a function is whenever <em>y</em> = 0. Hence:
Zero Product Property:
Solve:
So, our <em>x-</em>intercepts are (-5, 0) and (3, 0).
The <em>y-</em>intercept occurs when <em>x</em> = 0. Hence:
So the <em>y-</em>intercept is (0, -15).
The axis of symmetry is given by:
In this case, from standard form, <em>a</em> = 1, <em>b</em> = 2, and <em>c</em> = -15. Hence:
Our axis of symmetry is -1.
Therefore, the correct statements are B, D, and E.