Question

I need help please

Answer 1

9514 1404 393

Answer:

  W(x) = 27/256(x)(32-x)

Step-by-step explanation:

There are several ways you can do this. The method we've used here is to write a function that has zeros at x=0 and x=32, opens downward, and has a maximum at x=16 of 27.

The zeros give rise to the factored form ...

  w = x(x -32)

To make it open downward, we need to reflect this across the x-axis. We can add a leading minus sign, or we can swap the terms in the binomial that has a minus sign:

  w = -x(x -32) = x(32 -x)

This will have a value of 16(32 -16) = 256 at its peak. We want the peak to be 27, so we can vertically scale this function by a factor of 27/256. The grap attached shows this gives the desired result.

  W(x) = (27/256)(x)(32-x)