Consider the graph of function f(x)below. The function g(x) is a transformation of f(x). If g(x) has a y-intercept at -2, which of the following functions could represent g?

A. g(x) = f(x + 5)

B. g(x) = f(x) - 5

C. g(x) = f(x + 2)

D. g(x) = f(x - 2

At the newest animated movie, for every 9 children, there are 4 adults. there are a total of 39 children and adults at the movie.

Does the function satisfy the hypotheses of the mean value theorem on the given interval? f(x) = 4x^2 + 3x + 4, [−1, 1] no, f is continuous on [−1, 1] but not differentiable on (−1, 1). no, f is not continuous on [−1, 1]. yes, f is continuous on [−1, 1] and differentiable on (−1, 1) since polynomials are continuous and differentiable on . there is not enough information to verify if this function satisfies the mean value theorem. yes, it does not matter if f is continuous or differentiable; every function satisfies the mean value theorem.

If two angles of a triangle have equal measures and the third angle measures 90°, what are the angle measures of the triangle? a. 60°, 60°, 60° b. 45°, 90°, 90° c. 30°, 30°, 90° d. 45°, 45°, 90°