Using the function f(x) = x^2, match each function g(x) with the transformation from f(x).

Question

Match each one; the way it's ordered is random so you have to match one sentence to another.

1. g(x) is f(x) shifted two units to the right
2. g(x) = (x+2)^2
3. g(x) = (x-2)^2
4. g(x) is f(x) shifted two units to the left
5. g(x) is f(x) shifted down two units
6. g(x) = x^2+2
7. g(x) is f(x) shifted up two units
8. g(x) = x^2-2

Remember the order is randomized.

Answer 1

1&3

2&4

5&8

6&7

9&10 if 9 is stretched and 10 is g(x) = ax^2 where a>1 or a<-1

10&11 if 10 is compressed, shrunk and 10 is g(x) = ax^2 where -1<a<1

12&13 if 12 is reflected across the x axis and 13 is g(x) =-x^2

14&15 if 14 is reflected across the y axis and 15 is g(x) =(-x)^2 or g(x)=f(x)