Answer:
Horizontal Compression, Left 1, Down 3
A is correct
Step-by-step explanation:
Given: [tex]f(x)=\sqrt{3x+3}-3[/tex]
The parent function of given function is square root function.
[tex]f(x)=\sqrt{x}[/tex]
Shift 1 unit left
[tex]f(x)=\sqrt{x+1}[/tex]
Horizontal compression
[tex]f(x)=\sqrt{3(x+1)}[/tex]
Vertical down by 3 unit
[tex]f(x)=\sqrt{3x+3}-3[/tex]
[tex]\sqrt{x}\rightarrow \sqrt{3x+3}-3[/tex]
After above translation.
Hence, The function obtain from square root function after horizontal compression, left 1 and down 3
