Combinations of Transformations (AQA A-Level Mathematics): Quizzes

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Combinations of Transformations
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What does an inside transformation do to the xx-values?

Does opposite of what it says

What transformation does f(x)f(x+2)f(x) \longmapsto f(x+2) represent?

Translation 2 units left

What transformation does f(x)f(x)+6f(x) \longmapsto f(x)+6 represent?

Translation 6 units up

What transformation does f(x)f(x)f(x) \longmapsto f(-x) represent?

Reflection in the yy-axis

When y=x3y=x^3 is reflected in the xx-axis, what is the new function?

y=x3y=-x^3

What transformation does f(x)3f(x)f(x) \longmapsto 3f(x) represent?

Stretch S.F. 3 parallel to yy-axis

What is the scale factor for f(x)f(6x)f(x) \longmapsto f(6x) parallel to the xx-axis?

1/61/6

What is the result when y=x2y=x^2 is translated by (0,4)(0,4)?

y=x2+4y=x^2+4

For f(x)3+f(2x)f(x) \longmapsto 3+f(2x), does the order of transformations matter?

No, one is xx and one is yy

For y=exy=e^x to y=5ex+3y=5e^x+3, which transformation comes first?

Stretch by S.F. 5 parallel to yy

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