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Pls help
80 points!
function g is a transformation of f the graph below shows f as a solid blue line and G as a red dotten line

Pls help 80 points function g is a transformation of f the graph below shows f as a solid blue line and G as a red dotten line class=

Respuesta :

Vertex is same x coordinate

Means y is changed

f(x) has vertex (4,3)

g(x) has vertex (4,-3)

Total change

  • |3+3|=6

So the transmission is f(x)-6

semsee45

Answer:

[tex]\textsf{D)} \quad f(x)-6[/tex]

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]

From inspection of the graph, g(x) is a translation of f(x) by 6 units down.

[tex]\implies g(x)=f(x)-6[/tex]

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