Question

Quadratic function of 13 and 2

Answer 1

Answer:

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

Step-by-step 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:

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