Posted by Sammy on Friday, January 7, 2011 at 7:02pm.
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, Friday, January 7, 2011 at 7:08pm
Yes, if you are aiming for the general quadratic in the form
f(x) = a(xh)^2 + k

Algebra II  drwls, Friday, January 7, 2011 at 7:09pm
Since you do not defined what a, h and k are in terms of any function, I have no idea.

Algebra II  drwls, Friday, January 7, 2011 at 7:10pm
Thanks Reiny. I had never seen that general form before

Algebra II  Reiny, Friday, January 7, 2011 at 7:15pm
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, Friday, January 7, 2011 at 7:15pm
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, Friday, January 7, 2011 at 7:17pm
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, Friday, January 7, 2011 at 7:21pm
Thanks alotAt least I get one concept!
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