The graph below shows f(x), which represents a parent function, and g(x), which represents a translation of that
function.
Which statements about the functions are true? Check
all that apply.
Fx) = (1/2)^x
g(x) = (1/2)^x+4 -2
The ranges of both functions are the same.
The domains of both functions are the same.
The translation from f(x) to g(x) is right 4 units and
down 2 units.

In a test for esp (extrasensory perception), a subject is told that cards only the experimenter can see contain either a star, a circle, a wave, or a square. as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. a subject who is just guessing has probability 0.25 of guessing correctly on each card. a. the count of correct guesses in 20 cards has a binomial distribution. what are n and p? b. what is the mean number of correct guesses in 20 cards for subjects who are just guessing? c. what is the probability of exactly 5 correct guesses in 20 cards if a subject is just guessing?