Graphing Quadratic Functions in standard form A u-shaped curve called a Parabola. Parabolas They can open up or down. have a vertex point and an axis of symmetry. In standard form: f(x) = ax2 + bx + c If a > 0, the parabola will open up. If a < 0, the parabola will open down. The x-coordinate of the vertex is –b 2a The axis of symmetry is the line x = –b 2a 1. Find the coordinates of the vertex and the axis of symmetry. 2. Make a table and find at least one point on either side of the vertex. 3. Plot all points and connect with a parabola curve. 4. The axis of symmetry is represented by a dashed line. 1. f(x) = 2x2 2. g(x) = -½x2 – x + 6 3. h(x) = 3x2 + 2x

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# Graphing Quadratic Functions in standard form