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.***

I really need brainliest points! Please mark my answer as the brainliest answer also because I have a complete answer and a full and complete Step - By - Step Explanation.

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.