The curve with equation y = f(x) passes through the points A(4, 6), B(2, 0), C(0, 3)

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The curve with equation y = f(x) passes through the points A(−4, −6), B(−2, 0), C(0, −3) and D(4, 0) as shown in the diagram. Sketch the following and give the coordinates of the points A, B, C and D after each transformation.

a. f(x − 2)

b. f(x) + 6

c. f(2x)

d. f(x + 4)

e. f(x) + 3

f. 3f(x)

g. 1/3f(x)

h. f(1/4x)

i −f(x)

j. f(−x)

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Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

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Authors: Greg Attwood

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The curve with equation y = f(x) passes through the points A(4, 6), B(2, 0), C(0, 3)

Question:

y D A V B -2 0 A (-4,-6) -3√√C X

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The transformations affect the curve in the following ways a fx 2 This transformation shifts the gra...View the full answer

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

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