AI generatedAlgebraKS3 / GCSE

Plotting a quadratic graph

Plotting 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

Complete the table and draw the quadratic.

Given information
-5
-4
-3
-2
-1
Substitute each x-value
-5-2
-4-5
-3-6
-2-5
-1-2

Black: given data. Blue: working we add.

Substitute each -value carefully, using brackets for negatives.
Plot the points and join them with a smooth curve, not straight segments.
Coordinate graph−8−6−4−22−8−6−4−2240

Example 2

Complete the table and draw the quadratic.

Given information
-4
-3
-2
-1
0
Substitute each x-value
-4-10
-3-7
-2-6
-1-7
0-10

Black: given data. Blue: working we add.

Substitute each -value carefully, using brackets for negatives.
Plot the points and join them with a smooth curve, not straight segments.
Coordinate graph−6−4−22−15−12.5−10−7.5−5−2.50

Your turn

Question 1

Complete the table and draw the quadratic.

Given information
-3
-2
-1
0
1
Check answer
Substitute each x-value
-3-2
-2-5
-1-6
0-5
1-2

Black: given data. Blue: working we add.

Substitute each -value carefully, using brackets for negatives.
Plot the points and join them with a smooth curve, not straight segments.
Coordinate graph−6−4−224−8−6−4−2240
Question 2

Complete the table and draw the quadratic.

Given information
-2
-1
0
1
2
Check answer
Substitute each x-value
-2-10
-1-7
0-6
1-7
2-10

Black: given data. Blue: working we add.

Substitute each -value carefully, using brackets for negatives.
Plot the points and join them with a smooth curve, not straight segments.
Coordinate graph−4−224−15−12.5−10−7.5−5−2.50
Question 3

Complete the table and draw the quadratic.

Given information
-1
0
1
2
3
Check answer
Substitute each x-value
-1-2
0-5
1-6
2-5
3-2

Black: given data. Blue: working we add.

Substitute each -value carefully, using brackets for negatives.
Plot the points and join them with a smooth curve, not straight segments.
Coordinate graph−4−2246−8−6−4−2240
Question 4

Complete the table and draw the quadratic.

Given information
0
1
2
3
4
Check answer
Substitute each x-value
0-10
1-7
2-6
3-7
4-10

Black: given data. Blue: working we add.

Substitute each -value carefully, using brackets for negatives.
Plot the points and join them with a smooth curve, not straight segments.
Coordinate graph−2246−15−12.5−10−7.5−5−2.50
Question 5

Complete the table and draw the quadratic.

Given information
1
2
3
4
5
Check answer
Substitute each x-value
1-2
2-5
3-6
4-5
5-2

Black: given data. Blue: working we add.

Substitute each -value carefully, using brackets for negatives.
Plot the points and join them with a smooth curve, not straight segments.
Coordinate graph−22468−8−6−4−2240
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