Question

Write the quadratic function in vertex form.

y = x^2 + 4x + 7

Answer 1

The vertex form of the function given is
`y = (x + 2)^2 + 3`

The vertex form of a quadtratic function is in the form
`y = (x - h)^2 +k`
Start by completing the square of the quadtratic function which results to

`y = (x^2 +4x +4) +7 -4`
then simplifying the equation in the vertex form:
`y = (x+2)^2 + 3`