9.3 Graphing Quadratic Functions

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Presentation transcript:

9.3 Graphing Quadratic Functions

Parabola: is a U shaped graph that represents a quadratic If the leading coefficient is positive, the parabola will open up and look like a U If the leading coefficient is negative, the parabola will open down and look like a n

Vertex: is the point where the parabola changes direction.

Axis of Symmetry Axis of Symmetry: is an imaginary line that passes through the vertex of the parabola dividing the graph into 2 symmetric parts Axis of Symmetry

Formula The formula for the axis of symmetry is: Remember the formula for a quadratic equation is: 1) Find the Axis of Symmetry (A.S) for the following equation a= 1 b= -2 c= -3

Your Turn Find the Axis of Symmetry for the following equations A.S = 0 A.S = -2 A.S = -1

Graphing a Quadratic Function Steps 1. Find the Axis of Symmetry 2. Make a table for x and y values. Placing the Axis of Symmetry (A.S) in the middle. 3. Choose 3 x-values less then the A.S and 3 x-values greater then the A.S 4. Find the corresponding y-values for the graph. 5. Plot the points and connect them with a smooth curve. X Y A.S

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