please solve

37. Given the equation f (x) = X whose graph 8 (x) undergoes the following transformations: reflected across the x-axis and shifted 4 units downward. Choose the equation that models g (x). [A] 8(x) =-x-4 [B] 8(x) =x-4 [C] 8(x) =-1-4 [D] 8(x) =1-4 . To the right are the graphs of f(x) and g (x). If g(x) is a transformation of f (x), identify the equation of g(x). f ( x) [A] 8(x) = f(x-4)-3 [B] 8(x) = f(x+4)-3 [C] 8(x) =-f (x+4)-3 g ( x ) [D] 8(x) = f(x+4)+3 39. Which of the following transformations would produce a graph with the same x-intercepts as the graph of y = f ( x). [A] y = f ( x) +2 [B] y = f (x+2) [C] y = -f (x) [D] y = 2f (x) +1 40. The graph below represents the thermostat settings of a house in a 24-hour period. If the homeowner wants to reprogram this so that it starts 3 hours earlier and is always 5 degrees warmer, which equation would he use to reprogram the thermostat? 80 [A] 8 (1) = f(1+3)+5 70 [B] 8 (1) = f (1-3)+5 60 Temperature (in F) [C] 8 (1) = f (1+5)+3 50 [D] 8 (1 ) = f (1+3)-5 6 9 12 15 18 21 24 1 Time (in hours)