FINDING VERTEX AND AXIS OF SYMMETERY OF PARABOLA WORKSHEET

Identify the vertex and the axis of symmetry of each parabola.

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Graph each function. Label the vertex and the axis of symmetry.

Problem 4 :

y = x² –2x – 3

Solution

Problem 5 :

y = -3x² +12x – 8

Solution

Answer Key

1) Vertex (0, 1) and equation of axis of symmetry x = 0

2)  Vertex (3, 0) and axis of symmetry at x = 3.

3)  Vertex is (0, -2) and axis of symmetry at x = -2.

4)  Vertex (1, -4) and axis of symmetry at x = 1

5) Vertex (2, 4) and axis of symmetry at x = 2

Determine the equation of the axis of symmetry of :

Problem 1 :

y = x² + 4x + 1

Solution

Problem 2 :

y = 2x² - 6x + 3

Solution

Problem 3 :

y = 3x² + 4x - 1

Solution

Problem 4 :

y = -x² - 4x + 5

Solution

Problem 5 :

y = -2x² + 5x + 1

Solution

Problem 6 :

y = (1/2)x² - 10x + 2

Solution

Problem 7 :

y = (1/3)x² + 4x

Solution

Problem 8 :

y = 100x - 4x²

Solution

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