Academy Algebra II4.10: Write Quadratic Functions and

ModelsHW: p.312 – 313 (4, 12, 18, 22, 28, 34)

Test 4.7-4.10: Wednesday

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.

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

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.

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

Write a quadratic function whose graph has the given characteristics.5.) Passes through: (-1, -3), (0, -4), (2, 6).

Using Standard Form: y = ax2 + bx + c ; plug in the coordinates of each point to obtain a system of three equations. Solve the system and write the equation.

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

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).