Use the information provided to answer Part A and Part B for question 6. Unit 1
Consider the function f(x) = 2x2 + 6x - 8.
6.
Part A
What is the vertex form of f(x)?
A. HX) = 2(x - 3)² - 4
B. f(x) = 2(x + 3)2 - 4
C. f(x) = 2(x - 1.5)2 - 12,5
D. f(x) = 2(x + 1.5)2 - 12,5
Part B
What is a factored form of f(x)?
A. f(x) = (2x + 1)(x - 8)
B. f(x) = (2x - 1)(X + 8)
C. f(x) = 2(x + 4)(x - 1)
D, (x) = 2(x - 4)(x + 1)

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?