Skills · Quadratics · Graphing Quadratics

Axis of symmetry

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

• from vertex form: y = (x − 3)² + 2: axis of symmetry
• from standard form, x² first: y = x² − 6x + 5: axis of symmetry
• standard form, a number in front of x²: y = 2x² + 8x + 3: axis of symmetry
• an axis between whole numbers: y = 2x² − 5x + 1: axis of symmetry

Sample Sheet · Level 1

1. y = x² + 16x + 61: axis of symmetry
2. y = x² − 14x + 45: axis of symmetry
3. y = (x − 8)² − 9: axis of symmetry
4. y = (x − 6)² + 1: axis of symmetry
5. y = x² − 10x + 33: axis of symmetry
6. y = (x + 2)² − 4: axis of symmetry
7. y = (x + 3)² + 7: axis of symmetry
8. y = x² + 8x + 17: axis of symmetry

Answer key

1. x = −8
2. x = 7
3. x = 8
4. x = 6
5. x = 5
6. x = −2
7. x = −3
8. x = −4

Sample Sheet · Level 3

1. y = −x² − 8x − 9: axis of symmetry
2. y = −2x² − 3x + 5: axis of symmetry
3. y = x² + 2x + 6: axis of symmetry
4. y = x² + 10x + 24: axis of symmetry
5. y = (x − 7)² − 3: axis of symmetry
6. y = 3x² + 12x + 13: axis of symmetry
7. y = −2(x + 3)² − 8: axis of symmetry
8. y = −2x² − 2x − 8: axis of symmetry

Answer key

1. x = −4
2. x = −34
3. x = −1
4. x = −5
5. x = 7
6. x = −2
7. x = −3
8. x = −12

Make your own

Pick the count, the level and the version, and print it with work space and the key on its own page. The same skill also makes an I Do, We Do, You Do lesson, a Mosaic, a Decoder and more.

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