The graph here shows transformations of the graph of f(x) = 2x. What is the equation for the transformation?

Expert Solution

Consider the graph of the transformation of the function f(x) = 2x as shown.

Consider the transformation of the function shown in the graph be f(x) = 2x+c + d.

Since, the horizontal asymptote of the graph is –2

Therefore,

d = -2

Since, the graph passes through the point (2, 0)

Therefore,

0 = 22+c – 2

2 = 22+c

This implies that

2 + c = 1

c = -1

Hence, the transformation of f(x) = 2x shown in the graph is f(x) = 2x-1 – 2.

Umair answered 1 year ago

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Question

The graph here shows transformations of the graph of f(x) = 2x. What is the equation for the transformation?

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