Respuesta :
Find shift
f(x-6)
- (x-6)²
So
- f(x)=x²
x is decreased 6 units
So
The graph will shift 6 units right
Graph attached

Answer:
shifted right
Step-by-step explanation:
Translations
For [tex]a > 0[/tex]
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
Parent function: [tex]f(x)=x^2[/tex]
Translated 6 units to the right: [tex]f(x-6)=(x-6)^2[/tex]
