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For the function f(x). describe, in words, the effects of each variable alb,h,k on the graph of a*f(bx+h)+k

User Bbrown
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1 Answer

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Answer:

a: a produces vertical stretch

b: b produces a horizontal stretch

h: h produces a translation to the left of the X-axis

k: k produces a translation on the new function upward of the Y-axis

Explanation:

An intermediate function is produced by adding each variable in the following order:

1) f(x) to f(bx):

Effect:

the horizontal stretch of f(x) along the x-axis with stretch factor b

2) f(bx) to f(bx+h):

Effect:

translation of f(bx) to the left of the X-axis by h units

3) f(bx+h) to a*f(bx+h):

Effect:

vertical stretching of f(bx+h) by a factor equal to a

4) Finally, a*f(bx+h) to a*f(bx+h)+k:

Effect:

vertical translation of a*f(bx+h) by h units upwards along the Y-axis.

Blaise M.

User Julene
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