AI generatedAlgebraKey Stage 3

Reading roots of a quadratic graph

Reading roots of a quadratic graph.

  • 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 both roots of the quadratic from the graph.

Coordinate graph−8−6−4−22−22468100
A root is an -value where the curve meets the -axis.Read both crossings.

Example 2

Read both roots of the quadratic from the graph.

Coordinate graph−8−6−4−22−10−8−6−4−220
A root is an -value where the curve meets the -axis.Read both crossings.

Your turn

Question 1

Read both roots of the quadratic from the graph.

Coordinate graph−6−4−22−22468100
Check answer
A root is an -value where the curve meets the -axis.Read both crossings.
Question 2

Read both roots of the quadratic from the graph.

Coordinate graph−6−4−224−10−8−6−4−220
Check answer
A root is an -value where the curve meets the -axis.Read both crossings.
Question 3

Read both roots of the quadratic from the graph.

Coordinate graph−4−224−22468100
Check answer
A root is an -value where the curve meets the -axis.Read both crossings.
Question 4

Read both roots of the quadratic from the graph.

Coordinate graph−4−2246−10−8−6−4−220
Check answer
A root is an -value where the curve meets the -axis.Read both crossings.
Question 5

Read both roots of the quadratic from the graph.

Coordinate graph−2246−22468100
Check answer
A root is an -value where the curve meets the -axis.Read both crossings.
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