Question



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​

Answer 1

Answer: Third option.

Step-by-step explanation:

These are some transformations for a function f(x):

If $f(x)-k$, then the function is shifted down "k" units.

 If $f(x-k)$, then the function is shifted right "k" units.

Knowing this we can describe the transformation from the graph of the function $f(x) = x^2$ to the graph of the function $f(x) = (x - 3)^2-1$. This is:

The function  $f(x) = (x - 3)^2-1$ is the function $f(x) = x^2$ but shifted right 3 units and shifted down 1 units.

Therefore, the correct option is the third one.

Answer 2

Answer:

right 3 units, down 1 unit