Answer:
[tex]f(x) = {x}^{2} - 15x + 26[/tex]
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:
[tex]f(x) = (x - 13)(x - 2)[/tex]
We expand to get:
[tex]f(x) = {x}^{2} - 2x - 13x + 26[/tex]
We simplify to obtain:
[tex]f(x) = {x}^{2} - 15x + 26[/tex]
