Which equation, when graphed, has x-intercepts at (-1, 0) and (-5, 0) and a y-intercept at (0, - 30) ?

f (x) = - 6 (x + 1) (x + 5)

f (x) = - 6 (x - 1) (x - 5)

f (x) = - 5 (x + 1) (x + 5)

f (x) = - 5 (x - 1) (x - 5)

The first one is correct. If you plug zero in for the x's, you will get the y intercept (since the value of x on the y axis is zero). Setting the two factors each to zero and solving you get the x intercepts - 1 and - 5.