Graphs 7
2 marks · EasyThe equations y = x^2 - 4 and y = 0 are drawn on the same axes. Solve these equations graphically and write down the solutions for x.
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x = 2 or x = -2
Also accept: 2 and -2; x = -2 and x = 2
Common mistakes: 4 and -4
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Marking points
M1 · 1 mark · Identifies using the intersection points or root finding method.
A1 · 1 mark · Both values x = 2 and x = -2 given.
Worked solution
The intersection of the parabola y = x^2 - 4 with the x-axis (y = 0) occurs when x^2 - 4 = 0, so x^2 = 4, hence x = 2 or x = -2.