Automobile Aerodynamics The number of horsepower H required to overcome wind drag on an au...

Automobile Aerodynamics The number of horsepower H required to overcome wind drag on an automobile is approximated by

H(x) = 0.002x2 + 0.005x − 0.029, 10 ≤ x ≤ 100

where x is the speed of the car (in miles per hour).

(a) Use a graphing utility to graph the function.

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(b) Rewrite the horsepower function so that x represents the speed in kilometers per hour. [Find H(x/1.6).] Identify the type of transformation applied to the graph of the horsepower function.