Question

Write the equation of the quadratic function with roots -1 and -7 and a vertex at (-4, 7)

Answer 1

Have you seen turning point form before?

Answer 2

\[y=(x-h)^2+k\]

Answer 3

More generally, there should be an \(a\) as well
\(y=a(x-h)^2+k\), where \((h, k)\) is the vertex, so you already have this from your problem

A root is value of \(x\) when \(y=0\). So if one root is -1, that means you have a coordinate of \((-1, 0)\)

You should substitute the root coordinates into your function which will allow you to solve for \(a\).

Answer 4

Haha, whoops, forgot the 'a' :)