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Identifying Characteristics of Quadratic Functions

Identifying Characteristics of Quadratic Functions 1.9 - Solution

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We know that the function has a zero at and the greatest value is at . For quadratic functions, the maximum or minimum is always on the axis of symmetry. This means that this function's axis of symmetry must have the equation Draw the line and the known zero in a coordinate system.

Because the axis of symmetry splits the quadratic graph in half, both the zeros are equally far from the line of symmetry. The known zero is steps, right of so the second zero must then be three steps left of

The second zero is located in