Graphing f(x) = ax² + bx + c

Overview

Goal. Graph f(x) = ax² + bx + c: find the axis of symmetry with x = −b over 2a, substitute to find the vertex, and use c as the y-intercept.

Axis of symmetry (definition). The vertical line through the vertex that folds the parabola onto itself.

The axis of symmetry from a formula, the vertex by substitution, and c as the y-intercept.

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Goal. For f(x) = ax² + bx + c, find the axis of symmetry, substitute to get the vertex, and read the y-intercept from c.

Axis of symmetry (definition). The vertical line through the vertex that folds the parabola onto itself.