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Notes 3.3 Quadratic Functions

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Presentation on theme: "Notes 3.3 Quadratic Functions"— Presentation transcript:

1 Notes 3.3 Quadratic Functions
LEQ: What are the parts of a Quadratic Function needed to create an accurate graph? Notes 3.3 Quadratic Functions Warm-up Give an example of a quadratic function the opens downward.

2 Quadratic Function Graphs
Parabolas Open upward (+a) or downward (-a) Vertex is an absolute minimum or maximum Has exactly 1 y-intercept Has 0, 1, or 2 x-intercepts (quadratic formula) Is symmetric about a line through the vertex called the axis of symmetry.

3 Three Forms of Quadratic Functions
Transformation form: Polynomial form: X-Intercept form: LEQ: What are the parts of a Quadratic Function needed to create an accurate graph?

4 Transformation Form Transformation form: Vertex: X-intercepts:
Y-intercepts: LEQ: What are the parts of a Quadratic Function needed to create an accurate graph?

5 Polynomial Form Transformation form: Vertex: X-intercepts:
Y-intercepts: LEQ: What are the parts of a Quadratic Function needed to create an accurate graph?

6 X-Intercept Form Transformation form: Vertex: X-intercepts:
Y-intercepts: LEQ: What are the parts of a Quadratic Function needed to create an accurate graph?

7 Examples: Find the vertex & intercepts. Graph.
LEQ: What are the parts of a Quadratic Function needed to create an accurate graph?

8

9 Examples: Find the vertex & intercepts. Graph.
LEQ: What are the parts of a Quadratic Function needed to create an accurate graph?

10 Examples: Find the vertex & intercepts. Graph.
LEQ: What are the parts of a Quadratic Function needed to create an accurate graph?

11 Homework: Pages 170-171 #2-20 even
Practice: Page #1,5,9 Homework: Pages #2-20 even LEQ: What are the parts of a Quadratic Function needed to create an accurate graph?


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