Pls answer
100 points!
what is the effect on the graph of the function f(x)= x^2 when f(x) is changed to f( x - 6)

Shifted up
shifted left
shifted right
shifted down

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

Ver imagen Аноним

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]

Ver imagen semsee45