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The graph of f(x) = x2 is shifted 3 units to the right to obtain the graph of g(x). Which of the following equations best describes g(x)? (1 point) g(x) = (x + 3)2 g(x) = x2 − 3 g(x) = x2 + 3 g(x) = (x − 3)2

Respuesta :

botellok

Answer:

[tex]g(x)=(x-3)^{2}[/tex]

Step-by-step explanation:

Options 2 and 3  are discarded because those are traslations to up and down.

Now, the point (0,0) is in the function [tex]f(x)=x^{2}[/tex] and after being traslated it needs to be (3,0). The option [tex]g(x)=(x+3)^{2}[/tex] doesn't satisfice that because the image of 3 is 36 and needs to be 0. On the other hand, [tex]g(x)=(x-3)^{2}[/tex] is the only option that contains the point (3,0) so it is the correct answer.

teacup113

Answer..

D) g(x) = (x − 3)2

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