Find the equation of the quadratic function with roots 0 and 4 and a vertex at (2, -2).

Question

i am struggling with this

Answer 1

I believe the question data has error specifically that of the vertex (2, -2).

I think the vertex should be (2, -4).

This will give the equation: y = x2 - 4x with roots as 0 and 4.

Here when x = 2, y = -4 and not -2.

Thanks.

Answer 2

Find the equation of the quadratic function with zeros -2 and -6 and a vertex at (-4, -4).