Graphing Quadratic Functions

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Presentation transcript:

Graphing Quadratic Functions Chapter 6.1 Graphing Quadratic Functions

f(x) = ax2 + bx + c Quadratic Equations Linear Term f(x) = ax2 + bx + c Quadratic Term Constant Term The graph of any quadratic function is called a Parabola.

Graphs of Quadratic Functions Axis of Symmetry Vertex

To Find the Pieces: The equation of the axis of symmetry is: To find the X coordinate of the Vertex – just use the value that you found when getting the axis of symmetry. Then plug that X-value back into the original equation to solve for Y. That becomes the (x,y) of the Vertex.

Graph: x2 – 4x - 5 Find the axis of symmetry: Find the vertex values: Use the X-value as middle term in a chart:

Minimum and Maximum Values: The y-coordinate of the vertex of a quadratic function is the maximum value or minimum value obtained by the function. The graph of f(x) =ax2+bx+c opens up and has a minimum value when a > 0 (positive “a” – happy parabola) opens down and has a maximum value when a < 0 (negative “a” – unhappy parabola)

Find the minimum or maximum value of x2 - 8x + 2

Tonight’s Homework: Page 291 (21 -35 odd)