Hello, georgiaaa!

Find the points of intersection of the parabola and line:

. . y .= .x² + 12x + 24

. . y .= .4x + 9

To find the intersection of two curves, equate the functions.

. . x² + 12x + 24 .= .4x + 9

. . . x² + 8x + 15 .= .0

. . (x + 3)(x + 5) .= .0

And we have: .x = -3, -5

The corresponding values are: .y = -3, -11

Therefore, the intersections are: .(-3,-3) and (-5,-11)