Which of the following statements best describes a trigonometric function having undergone a phase shift? select all that apply.

the graph of y = sin x is translated three units down.
the graph of y = csc x is translated three units to the right.
the graph of y = cos x is translated three units up.
the graph of y = sec x is translated three units to the left.
the graph of y = cot x is reflected over the horizontal axis.
the graph of y = tan x is reflected over the vertical axis.

Which of the points a(6, 2), b(0, 0), c(3, 2), d(−12, 8), e(−12, −8) belong to the graph of direct variation y= 2/3 x?

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.

Justin has 750 more than eva and eva has 12 less than justin together they have a total of 63 how much money did