Select all the transformations of f(x) = x2 that combine to result in the graph of function g below.

Step-by-step explanation:

Parent function for the given graph is,

f(x) = x²

1). When the given function is inverted or reflected across x-axis,

  h(x) = -ax² [Since parabola is opening downwards]

2). Further the given graph is shifted 1 units left horizontally and 2 units down.

  p(x) = -a(x + 1)² - 2

  Therefore, there is a translation of 1 units towards left and 2 units down.

3). Since, the transformed function passes through (1, -4).

   p(1) = -a(1 + 1)²- 2

   -4 = -a(2)² - 2

   -4 = -4a - 2

   4a = 2

   a =

   Therefore,

  Which shows a horizontal stretch of the function 'p' by a scale factor of .

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! )

answer: huh

step-by-step explanation: