Answer:
D. g(x) = (x - 5)^2
Explanation:
- f(x) = x^2 is the parent function, which means no transformations have been done to it.
- Since f(x) and g(x) have the same shape, g(x) is essentially the parent function shifted 5 units to the right.
- In order to shift a quadratic function x units to the right, we subtract from inside a set parentheses and put the square outside these parentheses.
- Therefore, we subtract 5 from x inside a set of parentheses to shift 5 units to the right.
Thus, the equation of g(x) is g(x) = (x - 5)^2