Which best describes the transformation from the graph of f(x) = x2 to the graph of f(x) = (x – 3)2 – 1? left 3 units, down 1 unit left 3 units, up 1 unit right 3 units, down 1 unit right 3 units, up 1 unit

The best describes the transformation is right 3 units, down 1 unit ⇒ 3rd answer

Step-by-step 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

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.