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)?
g(x) = (x + 3)2
Og(x) = x2 – 3
g(x) = x2 + 3
g(x) = (x - 3)2

D) g(x) = (x - 3)²

Step-by-step explanation:

Since we have given that

We need to shift the function f(x) 3 units to the right to obtain the graph of g(x).

As we  know that shifting right is the horizontal shift.

And f(x-h) = g(x) , here f shift right h units.

so, After shifting 3 units right, we get that

Therefore, D is the correct answer.

***P.S.***

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x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)