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

right 3 units, down 1 unit

Answer 2

Answer: Third option.

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.