An electronics manufacturer recently created a new version of a popular device. It also created this function to represent the profit, P(x), in tens of thousands of dollars, that the company will earn based on manufacturing x thousand devices: P(x) = -0.16x2 + 21.6x – 400.

Question

anonymous · Answer

a.	The profit function for the first version of the device was very similar to the profit function for the new version. As a matter of fact, the profit function for the first version is a transformation of the profit function for the new version. For the value x = 40, the original profit function is half the size of the new profit function. Write two function transformations in terms of P(x) that could represent the original profit function.

anonymous · Answer

medal me and ill help

rebeccaxhawaii · Answer

you don't get a medal for not helping -.- @jchris25

dumbcow · Answer

Let f(x) be original profit function
1 transformation could be a vertical shift
$$f(x) = P(x) + k$$
Given:
$$f(40) = \frac{1}{2}P(40)$$
$$\rightarrow P(40) +k = \frac{1}{2} P(40)$$
$$k = -\frac{1}{2} P(40)$$