Complete the square to reveal maximum or minimum values of quadratic functions.
Find the axis of symmetry of a quadratic by writing it in vertex form
Problem
Find the axis of symmetry of \(f(x)=(x-4)^2+1\).
Big Picture
What this problem is really about
The function is already in vertex form, so the symmetry axis comes from the center of the squared displacement. We’ll read h with the sign convention x minus h, locate the vertex, name the vertical line through it, and verify symmetry by comparing equal offsets on either side.
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