Function Transformations. Please show work.

5a. The graphs of the functions y = f(x) and y = g(x) are shown below. Each function is then horizontally stretched by a factor of 2 about the y-axis, resulting in the new functions y = p(x) and y = q(x) respectively. 6 4 - 2 i. State the domain and range of y = p(x). 2 marks ii. State the domain and range of y = q(x). 2 marks b. The graph of f(x) = 5x2 + 6x - 7 is transformed into the graph of g(x) = -f(-x) State the equation of g(x). Explain your reasoning and express your answer in simplest form. 2 marks. c. The function y = f(x) is transformed to become the function g(x) = -af(b(x - 3)) + 5. The point (2, 6) on the graph of y = f(x) corresponds to the point ( 7, -21) on y = g(x). Find the values for a and b. 4 marks