Question

If you know the zeros of a quadratic function, how do you locate the vertex? (Site 2)

Answer 1

`\text{(h, f(h)) where h=} (x_1+x_2)/(2)\\` , (
`x_1,x_2,` zeros of the polynomial)

Explanation:

Given the zeros of a polynomial,
`x_1\: and \:x_2`, to determine the vertex, follow these steps.

Find the equation of symmetry x=h where
`h=(x_1+x_2)/(2)`

Substitute the value of h into the quadratic function f(x) to find the maximum of minimum point.

Therefore, the coordinate of the vertex will be:

`\text{(h, f(h)) where h=} (x_1+x_2)/(2)`