The diagram shows a sketch of the graph with equation f(x) = 6x 2x. There is
Question:
The diagram shows a sketch of the graph with equation f(x) = 6x² − 2x³. There is a minimum at the origin, a maximum at the point A(2, 8) and it cuts the x-axis at B(3, 0).
a) On separate diagrams, sketch the graphs with equations
i) y = f(2x)
ii) y = f(x + 1).
On each sketch, show where the curve cuts the x-axis and mark the coordinates of A and B.
b) The curve with equation y = f(x) + c has a maximum point at (2, 3). State the value of c.
c) The curve with equation y = df(x + e) has
a maximum point at (4, 4).
State the value of d and the value of e.
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Related Book For
Complete Pure Mathematics 1 For Cambridge International AS & A Level
ISBN: 9780198427438
2nd Edition
Authors: Jean Linsky, Brian Western, James Nicholson
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