Graphing Quadratic Functions Objective

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Quadratic Functions Topic: Graphing Quadratic Functions

Objective: To graph quadratic functions given in standard form, vertex form and intercept form.

These are graphs of quadratic functions:

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PARABOLA - graph of a quadratic function.

Axis of Symmetry: vertical line through the vertex. (Created a mirror image) Vertex: The lowest or highest point of the quadratic function. (Maximum or Minimum) Y- Intercept: where the graph intersects the yaxis. X-Intercepts: where the graph intersects the x-axis. (Also called solutions or roots)

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Quadratic Function in Standard Form

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Quadratic Function in Vertex Form

y = a(x – h)2 + k

y = a(x – h)2 + k

vertex form

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Quadratic Function in Intercept Form

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Graph 1)

2)

Write the equation in standard form. That means it needs to look like - ax + bx + c 2

1)

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2)

3)

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4)

Find the Axis of Symmetry

5)

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6)

Find the Vertex

7)

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8)

Graph 9)

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10)

11)