Consider the function ƒ(x) = x2. Which of the following functions shifts ƒ(x) downward 5 units and to the right 3 units? A)

ƒ(x) = (x – 5)2 – 3

B)

ƒ(x) = (x – 3)2 – 5

C)

ƒ(x) = (x + 3)2 – 5

D)

ƒ(x) = (x – 5)2 + 3

The magnitude, m, of an earthquake is defined to be m=log l/s, where i is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and s is the intensity of a “standard” earthquake, which is barely detectable. what is the magnitude of an earthquake that is 1,000 times more intense than a standard earthquake? use a calculator. round your answer to the nearest tenth.

If f(x) and g(x) are inverse functions of each other, which of the following shows the graph of f(g(x)

If you flip a coin 3 times, what is the probability of flipping heads 3 times? a. p(3 heads) = 3/8 b. p(3 heads) = 1/6 c. p(3 heads) = 1/8 d. p(3 heads) = 1/2