Answer:
f(x) is obtained by translate g(x) 3 units to the right and 2 units down
Step-by-step explanation:
* Lets talk about the transformation of a function
- If the function f(x) translated horizontally to the right
by h units, then the new function g(x) = f(x - h)
- If the function f(x) translated horizontally to the left
by h units, then the new function g(x) = f(x + h)
- If the function f(x) translated vertically up
by k units, then the new function g(x) = f(x) + k
- If the function f(x) translated vertically down
by k units, then the new function g(x) = f(x) – k
* Lets study the problem and solve it
∵ f(x) = g(x - 3) - 2
- x-coordinate change from x to x - 3, that means
# x-coordinate is translated 3 units to the right
- y-coordinate change from y to y - 2, that means
# y-coordinate is translated 2 units down
∴ The transformation is:
translated 3 units to the right and 2 units down
* f(x) is obtained by translate g(x) 3 units to the right and 2 units down
