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Quadratic project algebra 2

17/04/2021 Client: muhammad11 Deadline: 2 Day

Unit 2 Project

Complete parts a­c for each quadratic function a. Find the y­intercept, the equation of the axis of symmetry, and the x­coordinates of the vertex.

b. Make a table of values that includes the vertex.

c. Use the information to graph the function.

1. f(x) = ­3x^2 + 8x

2. f(x) = 2x^2 + 7x + 1

Determine whether each function has a maximum or minimum value. State the maximum or minimum value of each function.

3. f(x) = x^2 + 6x + 9

4. f(x) = ­x^2 + 4x

5. Write a quadratic equation with roots ­3 and 4 in standard form.

Solve each quadratic equation using the method of your choice. Find exact solutions.

6. ­1.6x^2 - 3.2x + 18 = 0

7. 10x^2 + 3x = 1

8. x^2 + 8x -­ 48 = 0

Simplify the expression.
9. (5-2i) -­ (8-11i)

10. (14-5i)^2

Write each equation in vertex form. Then identify the vertex, axis of symmetry, and direction of opening.

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