Question

The minimum turning point

of a quadratic curve is (10,
-5).
Write an equation for this in
the form:
y=x2 + ax + b.

-

Answer 1

`y=x^2-20x+95`

Explanation:

Write the equation in vertex form and evaluate

`y=(x-h)^2+k\\\\y=(x-10)^2-5\\\\y=x^2-20x+100-5\\\\y=x^2-20x+95`

This is because the minimum (or maximum) of a quadratic curve is its vertex and
`(h,k)` is the vertex in the formula I used