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Consider the functions f and g such that f(x)=3+2g(4x+3), for x∈R.
The graph of y=f(x) can be obtained from the graph of y=g(x) by applying the following transformations:
a vertical stretch by factor a
a translation of b units in the direction parallel to the y-axis
a translation of c units in the direction parallel to the x-axis
a horizontal stretch by factor d
Write down the value of
a
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b
c
d
Given that g(x)=p⋅f(qx+r)+s, find the values of p,q,r and s.
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