AI generatedAlgebraKS3 / GCSE

Reading a quadratic turning point

Reading a quadratic turning point.

  • Roots are where . The turning point is the minimum or maximum.
  • The axis of symmetry is the vertical line through the turning point.
  • A positive coefficient opens upwards; a negative coefficient opens downwards.

Example 1

Read the coordinates of the turning point.

Coordinate graph−8−6−4−22−8−6−4−2240
Turning pointFind where the curve changes direction.
The axis of symmetry is the vertical line through the turning point.

Example 2

Read the coordinates of the turning point.

Coordinate graph−6−4−22−15−12.5−10−7.5−5−2.50
Turning pointFind where the curve changes direction.
The axis of symmetry is the vertical line through the turning point.

Your turn

Question 1

Read the coordinates of the turning point.

Coordinate graph−6−4−224−8−6−4−2240
Check answer
Turning pointFind where the curve changes direction.
The axis of symmetry is the vertical line through the turning point.
Question 2

Read the coordinates of the turning point.

Coordinate graph−4−224−15−12.5−10−7.5−5−2.50
Check answer
Turning pointFind where the curve changes direction.
The axis of symmetry is the vertical line through the turning point.
Question 3

Read the coordinates of the turning point.

Coordinate graph−4−2246−8−6−4−2240
Check answer
Turning pointFind where the curve changes direction.
The axis of symmetry is the vertical line through the turning point.
Question 4

Read the coordinates of the turning point.

Coordinate graph−2246−15−12.5−10−7.5−5−2.50
Check answer
Turning pointFind where the curve changes direction.
The axis of symmetry is the vertical line through the turning point.
Question 5

Read the coordinates of the turning point.

Coordinate graph−22468−8−6−4−2240
Check answer
Turning pointFind where the curve changes direction.
The axis of symmetry is the vertical line through the turning point.
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