FIND VERTEX AND AXIS OF SYMMTERY OF PARABOLA WORKSHEET

Use the vertex, axis of symmetry and y-intercept to graph:

Problem 1 :

y = (x - 1)² + 3

Solution

Problem 2 :

y = 2(x + 2)² + 1

Solution

Problem 3 :

y = -2(x - 1)² - 3

Solution

Problem 4 :

y = 1/2(x - 3)² + 2

Solution

Problem 5 :

y = -1/3(x - 1)² + 4

Solution

Problem 6 :

y = -1/10 (x + 2)² - 3

Solution

Answer Key

1)  Vertex (h, k) = (1, 3)

Axis of symmetry at x = 1

y- intercept is (0, 4)

vertexandaosqn1

2)  Vertex (h, k) = (-2, 1)

Axis of symmetry x = -2

y- intercept is (0, 9)

vertexandaosqn2.png

3)  Vertex (h, k) = (1, -3)

Axis of symmetry is at x = 1

y- intercept is (0, -5)

vertexandaosqn3.png

4)  Vertex (h, k) = (3, 2)

Axis of symmetry is at x = 3

y- intercept is (0, 13/2)

vertexandaosqn4.png

5)  Vertex is (h, k) = (1, 4)

Axis of symmetry is at x = 1

y- intercept (0, 3 2/3)

vertexandaosqn5.png

6)  Vertex is (h, k) = (-2, -3)

Axis of symmetry is at x = -2

y- intercept (0, -3 2/5)

vertexandaosqn6.png

Determine the equation of quadratic function from graph. Give the function in vertex form.

Problem 1 :

quadraticfunctionfromgraphq6

Solution

Problem 2 :

quadraticfunctionfromgraphq7

Solution

Problem 3 :

quadraticfunctionfromgraphq8

Solution

Problem 4 :

quadraticfunctionfromgraphq9

Solution

Answer Key

1)  So, the equation of the parabola is y = x2 + 1.

2)  So, the equation of the parabola is y = (x + 3)2 - 1.

3) So, the equation of the parabola is y = x2 - 2

4)  So, the equation of the parabola is y = 1(x - 1)2 + 1.

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