The horsepower $H$ required to overcome wind drag on a particular automobile is given by $$H(x)=0.00004636 x^{3}$$ where $x$ is the speed of the car (in miles per hour).
(a) Use a graphing utility to graph the function.
(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.