1 Unit 1: Pure Mathematics A
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Question 337
The diagram shows the curve with equation y=f(x)y = f(x)y=f(x). The curve meets the xxx-axis at (−2,0)(-2, 0)(−2,0) and (4,0)(4, 0)(4,0), and has a maximum point at (1,9)(1, 9)(1,9).
a.[3]
On separate axes, sketch the curve with equation y=f(x+2)y = f(x + 2)y=f(x+2), stating the coordinates of its maximum point and of the points where it meets the xxx-axis.
b.[2]
On separate axes, sketch the curve with equation y=3f(x)y = 3f(x)y=3f(x), stating the coordinates of its maximum point.