Question: (a) Draw two graphs of your choice that represent a function y = f (x) and its vertical shift y = f (x) + 3.

(a) Draw two graphs of your choice that represent a function y = f (x) and its vertical shift y = f (x) + 3.

(b) Pick a value of x and consider the points (x, f (x)) and (x, f (x) + 3). Draw the tangent lines to the curves at these points and describe what you observe about the tangent lines.

(c) Based on your observation in part (b), explain whyd -f(x) = dx d dx -(f(x) + 3).

d -f(x) = dx d dx -(f(x) + 3).

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