Let f (x) = e ^(2x – 2) (a) Which describes how the graph of f can be obtained f

Question

Let f (x) = e ^(2x – 2) (a) Which describes how the graph of f can be obtained from the graph of y = e^x?

A. Stretch the graph of y = e^x horizontally by a factor of 2 and right by 2 units.

B. Shrink the graph of y = e^x horizontally by a factor of 1/2 and right by 2 units.

C. Stretch the graph of y = e^x horizontally by a factor of 2 and right by 1 units.

D. Shrink the graph of y = ex horizontally by a factor of 1/2 and right by 1 units.

(b) What is the y-intercept? State the approximation to 2 decimal places (i.e., the nearest hundredth).

(c) Draw the graph of y = e^x and the graph of f(x).

Explanation / Answer

Above is the graph of e^(2x - 2) and e^x

y - intercept = =====> x must be equal to zero

x = 0 ==========> y = e^-2

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