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5.1 Modeling Data with Quadratic Functions Quadratic function: a function that can be written in the standard form of f(x) = ax 2 + bx + c where a does.

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Presentation on theme: "5.1 Modeling Data with Quadratic Functions Quadratic function: a function that can be written in the standard form of f(x) = ax 2 + bx + c where a does."— Presentation transcript:

1 5.1 Modeling Data with Quadratic Functions Quadratic function: a function that can be written in the standard form of f(x) = ax 2 + bx + c where a does not equal 0

2 Quadratic termLinear termConstant term

3 Classifying Functions ex: (2x + 3) (x – 4) ex: 4(x 2 + 5) – 2(2x 2 - 9x) Determine if the function is linear or quadratic. Identify the quadratic, linear and constant terms.

4 Parabolas:The graph!!!! Axis of Symmetry The line that divides a parabola into 2 parts that are mirror images. Vertex The point at which the parabola intersects the axis of symmetry. Is also known as the maximum or the minimum point on the graph.

5 Examples of parabolas

6 Ex: Label the axis of symmetry and the vertex. State if the vertex is a max or a min.

7

8 Homework 10/25: #30 pg 241 1-15

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