F (x) = x+2, vertical stretch by factor of 5

Question

Nia Donaldson

Mathematics

25 January, 03:26

F (x) = x+2, vertical stretch by factor of 5

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Answers (1)

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Liberty Zhang · Answer 1

Transformation from f (x) to g (x)

g (x) = a*f (x-h) + k

will

stretch vertically by a (if a>1, magnification, if 0
translate to the right by h

translate upwards by k.

Since it is a pure stretch, h=0, k=0, and a=5

g (x) = 5f (x) = 5[ (x-0) + 2]+0=5x+10