Find quadratic equation with roots -2 and 8 passing through point (-1, 16)

[HELP_ME123]

one of my homework questions is asking to find the equation in standard form when given the roots and one intersecting point. The roots are -2 and 8 and
point given is -1,16. any help much appreciated.

 

[courtrigrad]

Is this a quadratic? $$f(x) = a(x - h)^2 + k$$

 

[HallsofIvy]

one of my homework questions is asking to find the equation in standard form when given the roots and one intersecting point. The roots are -2 and 8 and
point given is -1,16. any help much appreciated.

So you know it must be of the form f(x)= a(x-8)(x+2) in order to have those roots. What must a be so that f(-1)= 16?

 

[HELP_ME123]

Is this a quadratic? $$f(x) = a(x - h)^2 + k$$

it could be its. a function, if you know what that is. for every x value there is only one y value, yes it is possible it's a quadratic.

 

[HallsofIvy]

I believe courtrigrad knows what a function is! I suspect his original response was asking whether you know what a quadratic is!