Creating Quadratic Mathematical Models

Which quadratic function in vertex form can be represented by the graph that has a vertex at (3,-7) and passes through the point (1,-10)?

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Which function’s graph has a vertex at (3, 5) and contains the point (5, 13)?

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Which function is best represented by this graph?

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Which quadratic function in vertex form can be represented by the graph that has a vertex at (-8, -5) and passes through the point (-13, 5)?

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Which function’s graph has a vertex at (-1, 7) and contains the point (3, -25)?

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Which function is best represented by this graph?

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The turning point of the function, f(x) = -2(x + 3)² + 7, can be described as:

• (-3, 7) and is a maximum point

• (-3, 7) and is a minimum point

• (3, 7) and is a maximum point

• (3, 7) and is a minimum point

Write the equation of the parabola shown in vertex form.

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Write the equation of the parabola that has x-intercepts of (-2, 0) and (6, 0) and passes through the point (7, 27) in root form.

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Write a quadratic equation given the x intercepts and one other point.

Step 1: Write the factors.

The intercepts of this function are (6, 0) and (8, 0). Write the factors.

• (x-6) and (x-8)

• (x+6) and (x+8)

• (x-6) and (x+8)

• (x+6) and (x-8)