Question

How do you write the quadratic in vertex form given vertex (2,3), point (3, -8)?

Answer 1

Given the vertex is at `(2,3)`
the vertex form of the equation is
`y = a(x-2)+3 " for some constant value " a`

If the point `(3,-8)` is a solution for this quadratic
`-8 = a(3-2)+3`
`-8 = a+3`
`a=-11`

The vertex form of the quadratic with the given vertex and point is
`y= (-11)(x-2)+3`