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4.10: Write Quadratic Functions and Models HW: p.312 – 313 (4, 12, 18, 22, 28, 34) Test 4.7-4.10: Wednesday

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Write a quadratic function whose graph has the given characteristics. 1.) Vertex: (1, -2) and passes through: (3, 2). Vertex form: y = a(x – h) 2 + k ; plug in values to find a, then write the equation.

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Write a quadratic function whose graph has the given characteristics. 2.) Vertex: (4, -5) and passes through: (2, -1).

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Write a quadratic function whose graph has the given characteristics. 3.) x-intercepts: -1 and 4 and passes through: (3, 2). Intercept form: y = a(x – p)(x – q) ; plug in values to find a, then write the equation.

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Write a quadratic function whose graph has the given characteristics. 4.) x-intercepts: -2 and 5 and passes through (6, 2).

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Write a quadratic function whose graph has the given characteristics. 5.) Passes through: (-1, -3), (0, -4), (2, 6). Using Standard Form: y = ax 2 + bx + c ; plug in the coordinates of each point to obtain a system of three equations. Solve the system and write the equation.

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Write a quadratic function whose graph has the given characteristics. 6.) Passes through: (-1, 0), (1, -2), (2, -15).

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Write a quadratic function whose graph has the given characteristics. 7.) Vertex: (1, 6)and passes through: (-1, 2) 8.) x-intercepts: -3, 3 and passes through: (1, -4) 9.) Passes through: (-2, -13), (2, 3), (4, 5).

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