Determine the equation of the parabola whose graph is given below. Write your answer in General Form.

Question

Two X intercepts (-4,0) (-1,0) Vertex isn't given but appears to be (-2.5, -4.5). An extra value isn't given but appears to be (-3,4).

Answer 1

The x-intercepts give us y=a(x+4)(x+1) = a(x²+5x+4)

Plug in (-3, 4) gives us 4=a(9-15+4) or 4=-2a or -2 = a

Plug a=-2 into the equation up top to get y=-2x²-10x-20