Please help asap I genuinely cannot figure this out Find the equation of the parabola that has zeros of x = –2 and x = 3 and a y–intercept of (0,–30).

A) y = 5x2+ 5x – 30

B) y = –5x2 + 5x + 30

C) y = 5x2 – 5x – 30

D) y = x2 – 5x – 30

C

Step-by-step explanation:

We can use the factored form of the quadratic equation, given by:

Where a is the leading coefficient and p and q are the zeros.

We have zeros x = -2 and x = 3. So, let p = -2 and q = 3:

Next, we are given that our y-intercept is (0, -30).

In other words, when x = 0, y = -30. So:

Solve for a:

Hence, our factored equation is:

For the standard form, expand:

Simplify:

Distribute:

Our answer is C.

70

step-by-step explanation:

2*5=10

4*15=60

60+10=

70