FIND VERTEX OF PARABOLA FROM STANDARD FORM WORKSHEET

Name a, b and c for each parabola. Then find the vertex. Show all work.

Problem 1 :

f(x) = x² - 8x + 17

Solution

Problem 2 :

f(x) = -x² - 2x - 2

Solution

Problem 3 :

f(x) = -x² + 6x - 8

Solution

Problem 4 :

f(x) = -3x² + 6x

Solution

Problem 5 :

f(x) = -2x² - 16x - 31

Solution

Problem 6 :

f(x) = -1/2x² - 4x - 6

Solution

Problem 7 :

f(x) = -2x² + 12x - 22

Solution

Problem 8 :

f(x) = x² - 8x + 20

Solution

Answer Key

1)  (4, 1)

2)  (-1, 1)

3)  (3, 1)

4) (1, 3)

5)  (-4, 1)

6) (-4, 2)

7) (3, -4)

8) (4, 4)

Complete the square to convert the standard form quadratic function into vertex form. Then find the vertex.

Problem 1 :

f(x) = x2 + 4x - 14

Solution

Problem 2 :

f(x) = 2x2 + 9x

Solution

Problem 3 :

f(x) = 5x2 - 4x + 1

Solution

Problem 4 :

f(x) = x2 - 16x + 70

Solution

Problem 5 :

f(x) = -3x2 + 48x - 187

Solution

Answer Key

1)  (-2, -18)

2)  (9/4, -81/8)

3)  (2/5, 1/5)

4)  (8, 6)

5)  (8, 5)

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