Big Idea: -Graph quadratic functions. -Demonstrate and explain the effect that changing a coefficient has on the graph. 5-2 Properties of Parabolas.

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5.2 Properties of Parabolas

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Presentation transcript:

Big Idea: -Graph quadratic functions. -Demonstrate and explain the effect that changing a coefficient has on the graph. 5-2 Properties of Parabolas

Graphing Parabolas Quadratic Function: y = ax² + bx + c To find the vertex (x, y), first use the axis of symmetry formula. Axis of symmetry: After you find x, plug your x-value back into the quadratic function to find y. The y-intercept is (0,c) just like in a linear equation. To determine if your parabola opens up or down, look at your a value. +a = up, -a= down

Ex 1: Graph each function. Label the vertex and the axis of symmetry. Find the minimum or maximum value. A) y = x² -2x -3

B) y = -x² +4x + 2

C) y =