The graph G is a translation of the graph y = f(x). a) Write down, in terms of f, the equation of graph G.

The graph of y = f(x) has a maximum point at (0,4).
b) Write down the coordinates of the maximum point of the graph of y = 2f(x)

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?