Question

Which equation, when graphed, has x-intercepts at (8, 0) and (−2, 0) and a y-intercept at (0, −48)?

Answer 1

the answer is C.f(x) = 3(x − 8)(x + 2)

Answer 2

Answer:

f(x) = 3(x − 8)(x + 2)

Step-by-step explanation:

The roots are at x = 8 and x = -2.  This means factored form would include

y = (x-8)(x+2), with some number a as the leading coefficient.

Multiplying through, we have

y = x²+2x-8x-16

y = x²-6x-16

To have a y-intercept at -48, this means we multiply the function by 3; this gives us

y = 3(x-8)(x+2)