FINDING MINIMUM AND MAXIMUM VALUES OF QUADRATIC FUNCTIONS WORKSHEET

Find the maximum or minimum value of the following function.

Problem 1 :

y = x² - 4x + 1

Problem 2 :

y = -x² - x + 1

Problem 3 :

y = 5x² - 3

Problem 4 :

y = (1/2)x² - x - 4

Answer Key

1) Minimum point is at (2, -3)

2) Minimum point is at (-1/2, 5/4).

3) Minimum point is (0, -3).

4) Minimum point is (1, -4.5).

Find the maximum or minimum value of the following function.

Problem 1 :

y = –x² + 2x + 3

Problem 2 :

y = 2x² + 4x – 3

Problem 3 :

y = –3x² + 4x

1) Minimum value is y = 4

2) minimum value = -5.

3) minimum value = 4/3