Question

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)?

a. g(x) = (x + 3)2

b. g(x) = x2 − 3

c. g(x) = x2 + 3

d. g(x) = (x − 3)2

Answer 1

The answer is D because the numbers in the parenthesis determine where the x value is.

Answer 2

Answer: Option 'd' is correct.

Explanation:

Since we have given that

`f(x) = x^2`

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

`g(x)=(x-3)^2`

Hence, Option 'd' is correct.