Can i get help with this calculus?

Graph the equations listed in parts (a) to (d). (a) y = (x - 2)- - 4 (b) y = (x- 2)~ +2 (c) y= (x+2)~+2 (d) y = (x+ 4)- - 2 (U) VITICHI OI The 10nowIng gives wie correct graph oly - (x- 2) + 2: O A. OB. OC. OD. AY AY (c) Which of the following gives the correct graph of y = (x + 2)~+ 2? O A. O B. O C. OD. Ay AY (d) Which of the following gives the correct graph of y = (x + 4)- -2? O A. O B. OC. OD. Ay TY\fComplete the table of function values. Do not use a calculator or tables. Evaluate the six trigonometric functions for each value of 0. (Simplify your answers, including any radicals. Use integers or fractions for any numbers in the expressions. Type N if the function is undefined.) sin 0 cos 0 tan 0 cot 0 sec 0 CSC O - It - 1 / 4 0 1/4 3at / 4The value of sin x is given. Find tan x and cos x if x lies in the specified interval. sin X= 5. X E 0.2 tan x = (Type a simplified fraction.) cos x= (Type a simplified fraction.)Graph the func1ion in the tsplane [t-axis hor'zontal, saxis vertical]. What is the period of the function? What symmetry does the graph have? s = csc (In) Choose the correct graph below. OA. The period is (Type an exact answer, using :1 as needed.) Which of the following describes the graph? 0 A. It is symmetric about the saxis. O B. It is symmetric about the origin. 0 C. It does not have any symmetry. OD. 41 if C Use a graphing calculator or computer to determine which of the given viewing windows displays the most appropriate graph of the function f(x) = x* - 6x- + 6x. Choose the correct answer below. O A. [- 10, 10] by [ - 10, 10] O B. [-5, 5] by [ - 25, 15] O C. [- 1, 1] by [ - 1, 1] O D. [- 2, 2] by [ - 5, 5]Sketch the given curves together in the appropriate coordinate plane and label each curve with its equation. y=3*, y=5", y=2"*, y= Choose the correct sketch of the given curves. O A. O B. -5- O C. 13- y = 3X y = B* y = 5* y = 51 13 y = 5* X y = 8x Ty = 5 y = D ->\\ y = 5 y =5* 2 3 y = D-x 3 -b -3Use a graph to find an approximate solution. 10% - 0.6 =0 x = (Type an integer or decimal rounded to four decimal places as needed.)colony of bacteria starts with 1 bacterium and doubles in number every 30 minutes, how many bacteria will the colony contain at the end of 48 hours? e number of bacteria in the colony after 48 hours is ype your answer using exponential notation.)\fThe formula for a function y = f(x) and the graphs of f and fare given. Find a formula for f- 1. f(x ) =x +1 y =fix y= (0) L X f- 1 ( x ) = 0 (Type an exact answer, using radicals as needed.)\fFind the exact value, in radians, of the expression sin - 1(0). Use a graph of y = sin - 1x. sin - 1(0) = 0\f Find the domain and range ofthe function. 50) ' 1 12 49 The domain of the function (30} is . (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) The range of the function Gm is (Type your answer in interval notation, Use integers or fractions for any numbers in the expression ] m Find the natural domain and graph the tundion mozm What is the natural domain of the function? (type yout answer in interval notation ) Choose the curled graph of the function. 0A. Y a x 0. E Graph the function below. F (x) = 16-X, x54 3x, x>4 Choose the correct graph below. O A. OB. O C. 18- Ay OD. 18- Ay 14- 10- 107 0 co-\fIf f(x) = x + 8 and g(x) =x- - 3, find the following. a. f(g(0)) b. g(f(0)) c. f(g(x)) d. g(f(x)) e. f(f( - 4)) f. g(g(2)) g. f(f(x)) h. g(g(x)) a. f(g(0)) = (Simplify your answer.) b. g(f(0)) = (Simplify your answer.) c. f(g(x)) = (Simplify your answer.) d. g(f(x)) = (Simplify your answer.) e. f(f( - 4)) = (Simplify your answer.) f. g(9(2)) =0 (Simplify your answer.) g. f(f(x)) = (Simplify your answer.) h. g(g(x)) = (Simplify your answer.)Evaluate each of the following expressions using the given table of values. X 3 6 f(x) 4 g(x) 6 5 4 (a) f(g(3)) (b) g(f(4)) (c) f(f(3)) (d) g(g(6)) (a) f(g(3)) = (b) 9(f(4)) = (c) f(f(3)) = (d) g(g(6)) = Graph the equations listed in parts [a] to (d). [aly=[x-2)24 [bly=(x2)2+2 [c)y=[x+2)2+2 [d]y=(x+4)22 [3] Which of The following gives the correct graph of y = (x 2)2 4-? 0A. OB. [bl Which of the following gives the correct graph of y: (x 2)2 + 2? QA- DB. 9,6 [c] Which of The following gives the correct graph of y = (x +2)2 + 2'? QA OB