CONVERTING A QUADRATIC EQUATION FROM STANDARD TO VERTEX FORM WORKSHEET

Write each function in vertex form :

Problem 1 :

y = x² - 6x + 3

Problem 2 :

y = x² + 2x + 7

Problem 3 :

y = x² + 9x + 7

Problem 4 :

y = -3x² + 12x - 10

Problem 5 :

y = 3x² + 10x

Problem 6 :

y = x² - 12x + 36

Problem 7 :

y = -4x² - 24x - 15

Problem 8 :

y = -x² - 4x - 1

Answer Key

y = (x - 3)² - 6

Vertex of the parabola is (3, -6).

y = (x + 1)² + 6

Vertex of the parabola is (-1, 6).

y = (x + 9/2)² - 49/4

vertex of the parabola is (-9/2, -49/4).

y = -3(x - 2)² + 2

The vertex of the parabola is (2, 2).

y = 3(x + (5/6))² - (25/12)

The vertex of the parabola is (-5/6, -25/12).

y = (x - 6)²

the vertex of the parabola is (6, 0).

y = -4(x + 3)² + 21

So, the vertex of the parabola is (-3, 21).

y = -(x + 2)² + 3

So, the vertex of the parabola is (-2, 3).