Topic: Quadratic Graphs
Draw these quadratic graphs for -6 ≤ x ≤ 6.
a)
b)
c)
d)
e)
Reasoning
y = x2
y = x2 – 16
y = x2 + 3x + 2
y = x2 – 3x - 4
y = 5x - x2
Make a note of where each graph
crosses the x-axes.
1) Draw the graphs y = -x2 + 5x – 3 and y = x +2 on the same axes.
Explain why the quadratic –x2 + 5x – 3 = x + 2 has no solutions.
2) Draw the graphs y = x2 - 4x + 3 and y = 2x - 6 on the same axes.
Explain why the quadratic x2 - 4x + 3 = 2x - 6 has only one solution.
www.accessmaths.co.uk
RAG
Topic: Quadratic Graphs
Draw these quadratic graphs for -6 ≤ x ≤ 6.
f)
g)
h)
i)
j)
Reasoning
y = x2
y = x2 – 16
y = x2 + 3x + 2
y = x2 – 3x - 4
y = 5x - x2
Make a note of where each graph
crosses the x-axes.
1) Draw the graphs y = -x2 + 5x – 3 and y = x +2 on the same axes.
Explain why the quadratic –x2 + 5x – 3 = x + 2 has no solutions.
2) Draw the graphs y = x2 - 4x + 3 and y = 2x - 6 on the same axes.
Explain why the quadratic x2 - 4x + 3 = 2x - 6 has only one solution.
www.accessmaths.co.uk
RAG