If you apply the changes below to the absolute value parent function, f(x) = [xl, what is the equation of the new function?
Shift 2 units to the right.
• Shift 3 units down.
O A. g(x) = \x - 21 - 3
B. g(x) = 5x + 21 - 3
O C. g(x) = x-31 - 2
D. g(x) = 5x + 31 - 2

If y varies directly as x2 and y=6 when x=6, find the constant of variation.

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?

Complete the equation of the live through (-1,6) (7,-2)