x) Consider the graphs of y1 = f(x) and y2 = f(2x + 7). Make a prediction about how these graphs are related. In particular what does the graph of y2 = f(2x + 7) look like in comparison to y1 = f(x)? y) Suppose that, in addition, we know that f(x) = x2. Graph y1 = f(x) and y2 = f(2x + 7). Make sure you measure the horizontal distance between the vertices of the two graphs. How do your findings fit with your expectations from part a)? z) When we graph y = Af(Bx + C) + D, based on our knowledge of the graph of y = f(x) and assuming that A, B, C and D are constants, does the order in which we carry out the four transformations matter? What order would you recommend?

x) Consider the graphs of y₁ = f(x) and y₂ = f(2x + 7). Make a prediction about how these graphs are related. In particular what does the graph of y₂ = f(2x + 7) look like in comparison to y1 = f(x)?

y) Suppose that, in addition, we know that f(x) = x². Graph y₁ = f(x) and y₂ = f(2x + 7). Make sure you measure the horizontal distance between the vertices of the two graphs. How do your findings fit with your expectations from part a)?

z) When we graph y = Af(Bx + C) + D, based on our knowledge of the graph of y = f(x) and assuming that A, B, C and D are constants, does the order in which we carry out the four transformations matter? What order would you recommend?