Question

Determine the equation of the quadratic function f(x)=ax^2 - 6x - 7 if f(2)=3.

Answer 1

I would start by plugging in 3 for f(x) and 2 for x. The problem basically says that, when x=2, the result of the equation is 3. So, plug in x=2, set it equal to 3, and solve for a. Then just replace a in the first equation with whatever value you find, and you will have the correct equation.

Answer 2

What do you mean by set it equal to 3?

Answer 3

\(3=a(2)^2 -6(2)-7\)

Answer 4

And I would just have to solve for a then plug that in to the original equation?

Answer 5

Exactly.

Answer 6

Thank you!!

Answer 7

Good job @peekaboopork