Answer:
The best describes the transformation is right 3 units, down 1 unit ⇒ 3rd answer
Explanation:
* Lets talk about some transformation
- 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
* Now lets solve the problem
∵ f(x) = x²
- The change from x² to (x - 3)² means the graph shifted 3 units
to the right
- The value -1 means the graph shifted down 1 unit
∴ The graph of f(x) = x² is shifted 3 units to the right and 1 unit
down and the resulting function is f(x) = (x - 3)² - 1
* The best describes the transformation is right 3 units, down 1 unit