STUDYING FOR A TEST TOMORROW NEED HELP PLEASE.

A model performance of a stock is P=-3d^2 = 50d where d represents the days of trading and p is the price per share. what is the maximum price per share of the stock

Question

STUDYING FOR A TEST TOMORROW NEED HELP PLEASE.

A model performance of a stock is P=-3d^2 = 50d where d represents the days of trading and p is the price per share. what is the maximum price per share of the stock

anonymous · Answer

As this question is telling you to find the maximum, you need to first find the function's first derivative. Do you know how to do this?

anonymous · Answer

no @Wariety

anonymous · Answer

Ok, the first derivative tells you the slope of the function at a particular point. When the function reaches its maximum or minimum, the slope = 0.

anonymous · Answer

Am I correct to say that the function is $$P=-3d^2$$?

anonymous · Answer

yes @Wariety

anonymous · Answer

There is a rule for finding the vertex without using derivatives.  Here is the formula and description shamelessly lifted from another website: 

"If the quadratic is written in the form $y = a(x – h)^2 + k$, then the vertex is the point (h, k)" 

So put the equation into the form and you will have the vertex.