# Axis of symmetry

• December 5th 2007, 03:12 PM
mathlg
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?

• December 5th 2007, 05:57 PM
colby2152
Quote:

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?

Plug & Chug...

$f[g(x)] = 3(x-2)^2 - 15(x-2) + 3$
• December 5th 2007, 08:26 PM
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.