# Thread: Axis of symmetry

1. ## Axis of symmetry

Question:

If f(x) = 3x^2 - 15x + 3 and g(x) = x-2, the equation for the axis pf symmetry of the graph of y = f(g(x)) is?

Not sure what to do or what this means. Please Help.

2. Originally Posted by mathlg
Question:

If f(x) = 3x^2 - 15x + 3 and g(x) = x-2, the equation for the axis pf symmetry of the graph of y = f(g(x)) is?

Not sure what to do or what this means. Please Help.
Plug & Chug...

$\displaystyle f[g(x)] = 3(x-2)^2 - 15(x-2) + 3$

3. The axis of symmetry for a parabola is a straight line passing through the turning point and parallel to the y axis.

replacing x with (x-2) is equivalent to a translation of 2 to the right.

hope this helps.