Question

Given the function,f(x)= /3x+3-3 , choose the correct transformation(s).

Answer 1

Answer:

Horizontal Compression, Left 1, Down 3

A is correct

Step-by-step explanation:

Given: $f(x)=\sqrt{3x+3}-3$

The parent function of given function is square root function.

$f(x)=\sqrt{x}$

Shift 1 unit left

$f(x)=\sqrt{x+1}$

Horizontal compression

$f(x)=\sqrt{3(x+1)}$

Vertical down by 3 unit

$f(x)=\sqrt{3x+3}-3$

$\sqrt{x}\rightarrow \sqrt{3x+3}-3$

After above translation.

Hence, The function obtain from square root function after horizontal compression, left 1 and down 3