Secondary (Gr. 12, BC)
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!