a) Consider the plot shown below (Figure 1). TT -2 2. 6 SE -2 Figure 1 - Plot of an unknown trigonometric function a. State the amplitude, period, vertical shift and horizontal shift of the trigonometric function. b. State the equation of the function in the form y = a(sin(bx + c)) + d. c. What is the range of the function? b) Consider the function y(x) = -3x2 + 4x - 1. a. Find the roots, y-intercept and turning point b. Sketch a graph of the function, identifying the roots, y-intercept and turning point. C. State the domain and range of y(x). h(x) = 2x In(x), i(x) = 5+x c) Given the functions, f(x) = x3-5 xx evaluate the following: a. a(x) = f(g(x)) b. b(x) = 4(h(x) + g(x)) C. c(1) where c(x) = ich(x))