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**Notes Over 9.3 Graphs of Quadratic Functions**

Standard form of a Quadratic is: The graph of a quadratic is a Parabola. The Vertex of a parabola is the lowest point that opens up, or the highest point that opens down. The Axis of Symmetry of a parabola is the vertical line passing through the vertex.

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Notes Over 9.3 Sketching a Quadratic Function Vertex:

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**The normal graph is from y = x2**

Notes Over 9.3 Sketching a Quadratic Function Since a is –2, it will go down twice as fast as normal. Vertex: The normal graph is from y = x2 when x goes out 1, y goes up 1; when x goes out 2, y goes up 4; when x goes out 3, y goes up 9 So go down twice as fast as normal

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**Notes Over 9.3 Sketching a Quadratic Function with a Positive a-value**

Vertex:

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**Notes Over 9.3 Normal Graph**

Sketching a Quadratic Function with a Positive a-value Vertex: Normal Graph

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**Notes Over 9.3 Normal Graph**

Sketching a Quadratic Function with a Positive a-value Vertex: Normal Graph

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**Notes Over 9.3 Sketching a Quadratic Function with a Negative a-value**

Vertex:

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**Notes Over 9.3 Normal Graph**

Sketching a Quadratic Function with a Negative a-value Vertex: Normal Graph

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**Notes Over 9.3 Normal Graph**

Sketching a Quadratic Function with a Negative a-value Vertex: Normal Graph

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**Notes Over 9.3 Using a Quadratic Model**

7. A ball was thrown and followed a path described by: , What was the maximum height (in feet) of the thrown ball? The maximum height occurred at the vertex.

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Notes Over 9.3

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