Using the value of k you found in (b) alter the formula of g(t) by scaling and shifting to get a new function with maximum point at (60; 400) and points of inflection at t = 50 and t = 70. Call this function h(t), write down its formula and draw a rough sketch showing the shape of h(t).

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Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
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Can you please help with 3.(C) ?

Using the value of k you found in (b) alter the formula of g(t) by scaling and shifting
to get a new function with maximum point at (60; 400) and points of inflection at
t = 50 and t = 70. Call this function h(t), write down its formula and draw a rough
sketch showing the shape of h(t).
Transcribed Image Text:Using the value of k you found in (b) alter the formula of g(t) by scaling and shifting to get a new function with maximum point at (60; 400) and points of inflection at t = 50 and t = 70. Call this function h(t), write down its formula and draw a rough sketch showing the shape of h(t).
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