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The graph of y=f(x) is a transformation of the graph y=g(x)

Write a formula for the function f in terms of function g

User Gala
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Let (a, b) be the coordinates of any point on the graph of y = g(x). The transformation of this point onto the graph of y = f(x) can be represented by the general form of a transformation, which is:

y = A*f(B(x-h))+k

where A, B, h, and k are constants representing the vertical stretch/compression, horizontal stretch/compression, horizontal shift, and vertical shift, respectively.

We can write this transformation in terms of the function g as follows:

y = A*g(B(x-h))+k

Therefore, the formula for the function f in terms of the function g is:

f(x) = A*g(B(x-h))+k

where A, B, h, and k are constants representing the transformation of the graph of y = g(x) onto the graph of y = f(x).

User Karl Jamoralin
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