Question

Quadratic function of 13 and 2

Answer 1

`f(x) = {x}^(2) - 15x + 26`

Explanation:

Assuming we want to write a quadratic function with intercepts x=13 and x=2.

Then we can work backwards.

This means that:

x-13=0 and x-2=0

The factored form of this quadratic function becomes:

`f(x) = (x - 13)(x - 2)`

We expand to get:

`f(x) = {x}^(2) - 2x - 13x + 26`

We simplify to obtain:

`f(x) = {x}^(2) - 15x + 26`