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Soriku said:

1. The number of horsepower H required to overcome wind drag on an automobile is approximated by the model:

H(x) = 0.002x^2 0.005x - 0.029, 10 < x < 100

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

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


h(x *1/b) will casue a horizontal dilation with a scale factor of 1/1.6

It will scale up (widen) because |1.6| >1

That answers the second part of your question.

The first section of your question, you just simply replace x with x/1.6 in your initial function.

Edit: Let me know if more explanation is needed. I do apologize if it is unclear or even wrong (!). It's 3:30AM here and it's been a mess since hurricane Igor had hit. Still trying to straighten things.

Edit 2: I can't believe the bad-mouthing math is getting. I teach it for a living, I will not stand for this!