Unit 2 Revision Exercise 2

Quadratics

Find the maximum or minimum values of the following quadratics by completing the square.

1. 2x² + 8x + 1

1. 3x² - 5x – 2

2. 2 + 3y – y²

3. y = 6 – x – 2x² Find the maximum or minimum values of y and the solution for y = 0

4. For the following function, find the minimum value of f(y) and the value of y at which this occurs.

5. Using the method of completing the square, solve the following quadratic equation.

ax² + bx + c = 0

7. Investigate the sum and product of the roots of the above equation.