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 why
d -f(x) = dx d dx -(f(x) + 3).
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a b In both cases the tangent lines are parallel c A vertica... View full answer
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