Question

Write the equation of a quadratic function with roots at 1 and 5 and a vertex at (3,-2)

Answer 1

The equation of a parabola is the following:


`(y - k) = a(x - h)^(2)`

where
`(h, k)` is the coordinate of the vertex and
`a` is a constant. With the information you have above, you are able to fill in
`(h, k)` and solve for
`a` with the information that
`(1, 0)` and
`(5, 0)` are roots of the equation.