FunctionsCourse skill

Axis of symmetry of a quadratic

Find the vertical line through the turning point.

  • For , the axis is .
  • If two real zeros are known, their midpoint has the same coordinate as the axis.

Example 1

Use the coefficients

Find the equation of the axis of symmetry.

Expand the brackets and collect like terms.

Example 2

Midway between the roots

Find the equation of the axis of symmetry. The zeros are 2 and 8.

Simplify the numerical terms and collect like terms.

Your turn

Question 1

Find the axis of symmetry.

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Question 2

Find the axis of symmetry.

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Question 3

Find the axis of symmetry.

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Question 4

Find the axis of symmetry.

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Question 5

Find the axis of symmetry.

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