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5.1 Modeling Data with Quadratic Functions

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Quadratic Function: f(x) = ax 2 + bx + c a cannot = 0

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Ex 1 Is the function linear or quadratic? f(x) = (2x – 1) 2

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EX 2 Is the function linear or quadratic? f(x) = x 2 – (x + 1)(x – 1)

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The graph of a quadratic function is a PARABOLA. Vertex – minimum or maximum value. Where the parabola intersects the axis of symmetry. Axis of Symmetry – a line that divides the parabola into 2 parts, mirror images

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EX 3 Find the vertex, axis of symmetry and the corresponding points to P and Q. y = x 2 – 6x + 11

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EX 4 Find a quadratic function to model the given points: (-2, -17) (1, 10) (5, -10)

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Ex 5 y = 2x 2 + x – c contains the point (1, 2). Find c.

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5-1: MODELING DATA WITH QUADRATIC FUNCTIONS Essential Question: Describe the shape of the graph of a quadratic function and basic properties of the graph.

5-1: MODELING DATA WITH QUADRATIC FUNCTIONS Essential Question: Describe the shape of the graph of a quadratic function and basic properties of the graph.

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