How To Find The Axis Of Symmetry?

For a parabola in standard form (y=ax^2+bx+c), use (x=-frac{b}{2a})

For a parabola in vertex form (y=a(x-h)^2+k), use (x=h)

For a parabola in factored form (y=a(x-r_1)(x-r_2)), use (x=frac{r_1+r_2}{2})

For a graph, find the vertical line that passes through the vertex

For two x-intercepts, find the midpoint between them

For a table of values, find the x-value where the y-values on both sides match

For a symmetric graph, identify the line that divides it into two mirror-image halves

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