Meghan Secondary (Gr. 12, BC) Student Hi there, I have a couple questions about some function questions I got for homework. The question reads: Write the equations for f(x) = squareroot(4 - (x - 2)^2) after: a) a horizontal expansion by a factor of 2 Answer: f(x) = squareroot(4 - (1/2x - 2)^2) b) a horizontal translation 3 units left Answer: f(x) = squareroot(4 - (x + 1)^2) c) the expansion in part a), then the translation in part b) d) the translation in part b), then the expansion in part a) I understand how to do a) and b), but I'm not sure what I'm supposed to do for the equations in a specific order (expansion, then translation vs. translation, then expansion). Thank you so much! -Meghan Hi Meghan, To perform the expansion by 2 you divided the variable by 2. To perform the translation 3 units to the left you added 3 to the variable. Let me try this with a different function. Start with g(x) = x2. Expansion by a factor of 2 gives ( x/2)2 = x2/4 Translation of this function 3 units to the left gives (x + 3)2/4 Start again with g(x) = x2. Translation 3 units to the left gives (x+3)2 Expansion of this function by a factor of 2 gives (x/2 + 3)2 Is (x + 3)2/4 = (x/2 + 3)2? Penny