Algebra II
posted by Sammy on .
What is the equation of g(x) if the parent function is f(x) = x^2 and a = 2, h = 5 and k = 7
f(x) = 2(x5)^2 + 7
F(x) = 3(x+5)^2 + 7
f(x) = 2(x+5)^2 + 7
f(x) = 2(x5)^2 7
I think it is 2(x+5)^2 + 7, is that right

Yes, if you are aiming for the general quadratic in the form
f(x) = a(xh)^2 + k 
Since you do not defined what a, h and k are in terms of any function, I have no idea.

Thanks Reiny. I had never seen that general form before

Some authors call it the "standard" form of a parabola, it displays the vertex (h,k).
A second point on the graph is needed to find a. 
Thanks ReinyI really appreciate itI get confused about taking the "h" at times
So if they say h= (5), then in the equation when it is written,it is positive and viceversa, correct? 
correct, since in the formula you have
...(xh)^2 ....
for x(5) it would become x+5
for x(+5) it would become x5 
Thanks alotAt least I get one concept!