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13.2 Solving Quadratic Equations by Graphing CORD Math Mrs. Spitz Spring 2007

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Objectives Identify standard form coefficients in a standard formula Determine how a parabola opens Find the coordinates of the vertex Sketch a graph of a function.

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Assignment 9.3 Worksheet A and B

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Identify the values of a, b, and c in the functions. Standard form of a quadratic function: ax 2 + bx + c a, b and c represent coeeficients in the function. a 0

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Ex. 1: Identify the values of a, b, and c in the functions. y = -x 2 + 4x – 8 a = -1 b = 4 c = -8

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Tell whether the graph opens up or down. Write the equation of the axis of symmetry. If a is positive, the parabola opens up. If a is negative, the parabola opens down.

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Ex. 2: Tell whether the graph opens up or down and state the equation of the axis of symmetry. The parabola opens up because a is positive 7.

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Find the coordinates of the vertex. In order to find the coordinates of the vertex, you must find the axis of symmetry, then plug in the value you find for x and determine the value for y.

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Ex. 3 Find the coordinates of the vertex. Find the value for x using the formula for axis of symmetry.

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Ex. 3 Find the coordinates of the vertex. Then substitute the value for x and solve for y. The vertex for this equation is at (1, 19).

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Ex. 4: Find the coordinates of the vertex. Make a table of values using 2 x-values to the left and right of the vertex.

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xy -37 -2 3 0 1

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Ex. 4: Find the coordinates of the vertex. Make a table of values using 2 x-values to the left and right of the vertex. xy -37 -24 3 0 1

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Ex. 4: Find the coordinates of the vertex. Make a table of values using 2 x-values to the left and right of the vertex. xy -37 -24 3 04 1

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Ex. 4: Find the coordinates of the vertex. Make a table of values using 2 x-values to the left and right of the vertex. xy -37 -24 3 04 17 Next step is to graph the points.

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xy -37 -24 3 04 17 vertex

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