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

Solution

Problem 2 :

y = -x2 - x + 1

Solution

Problem 3 :

y = 5x2 - 3

Solution

Problem 4 :

y = (1/2)x2 - x - 4

Solution

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

Solution

Problem 2 :

y = 2x2 + 4x – 3

Solution

Problem 3 :

y = –3x2 + 4x 

Solution

Answer Key

1)  Minimum value is y = 4

2)  minimum value = -5.

3)  minimum value = 4/3

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