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

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