Question

in the xy-plane the graph of the function f with equation f (x)=ax^2-9 passes through the point (-3,3) what is the value of a

Answer 1

if the function passes through the point (-3,3), then we can set f(x) = 3 and x = -3 like so:

f (x)=ax^2-9

3 = a(-3)^2 - 9

from there, solve for a. be careful with the sign on (-3)^2