6. For the function, f(x) = - 1/2 (-2x + 4)", I a) Name the standard function from which the given function came from and sketch graph of the standard function b) Show each function transformation operation that was applied to the standard function to reach the given function c) Graph each function transformation step found in part b) 7. Given f(x) = 6x2 - x - 1 and g(x) = x - 1 a) Find f + g and its domain Find f - g and its domain C ) Find fg and its domain Find f/g and its domain e ) Find (f g)(x) and its domain f) Find (g ' f)(x) and its domain 8. Given f(x) = (x- 1) 1/3 a) Find the equation of f(x) Find f(f (x)) and determine if the f (x) found in part a) is correct Graph f(x) and f'(x) in the same coordinate system Use interval notation to give the domain and range of each function 9. For the expression x2 + y2 + 3x + 5y +9/4 = 0, a) Complete the square b ) Write equation of the circle in the standard form C ) Give center and the radius by looking at the standard form found in part b) Use distance formula to find radius of the circle, using coordinate of the center of the circle and any point on the circle