FIND VERTEX AND AXIS OF SYMMETRY OF QUADRATIC FUNCTION WORKSHEET

Identify the vertex ans axis of symmetry of each by converting to vertex form. Then sketch the graph.

Problem 1 :

y = x² - 12x + 36

Solution

Problem 2 :

y = -x² - 6x - 10

Solution

Problem 3 :

y = x² - 2x - 1

Solution

Problem 4 :

y = -2x² + 8x - 11

Solution

Identify the vertex and axis of symmetry of each. Then sketch the graph.

Problem 5 :

f(x) = -3(x - 2)² - 4

Solution

Problem 6 :

Solution

Problem 7 :

Solution

Problem 8 :

Solution

Answer Key

1)  vertex (h, k) = (6, 0)

Axis of symmetry x = 6.

2)  vertex (h, k) = (-3, -1)

Axis of symmetry x = -3.

3)  vertex (h, k) = (1, -2)

Axis of symmetry x = 1.

4)  vertex (h, k) = (2, -3)

Axis of symmetry x = 2.

5)  Vertex (h, k) = (2, -4)

axis of symmetry x = 2

6)  (h, k) = (1, 4)

Axis of symmetry x = 1

7) (h, k) = (-4, 3)

axis of symmetry x = -4

8)  (h, k) = (-5, 2)

axis of symmetry x = -5