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

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

Algebra II 
drwls,
Thanks Reiny. I had never seen that general form before

Algebra II 
Reiny,
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. 
Algebra IIPlease clarify one thing for me 
Sammy,
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? 
Algebra II 
Reiny,
correct, since in the formula you have
...(xh)^2 ....
for x(5) it would become x+5
for x(+5) it would become x5 
Algebra IIThank you 
Sammy,
Thanks alotAt least I get one concept!