The graphs below have the same shape. what is the equation of the red graph?

The curves shown in the graph are the same; the difference is a vertical translation.  In R(x), the y-intercept is 3, and the equation starts with a 3.  The y-intercept of G(x) is 5, so the equation is G(x)=5-x^4.

Hope this helps!!

the answer   is 200

step-by-step explanation:

this is a problem about poisson probabilities.   i don't know if you've

already studied poisson distributions, or if you have a place to look

to read more about the subject.  

here's how you can see a poisson distribution coming.   when there are

a lot of events that may happen at any time (or any place), and when

you're counting how many of them happen at a particular time (or a

particular place), and each event is independent of the others, then

the result is a poisson distribution.   this is roughly true for the

chocolate chips; one chip being in a cookie has only a small effect on

the probability that another chip will be in the cookie.

once you know you have a poisson distribution, you know a lot.   there

is only one parameter to a poisson distribution, so if you know the

mean, you know everything.   the form of the distribution is

  probability of n chips = {[e^(-x)]*(x^n)} / (n! )

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .