Question

If f(x) = x2 is translated 3 units to the right to form g(x), which of the following equations best represents the new graph?

Answer 1

g(x) = (x - 3)²

Explanation:

The original function is f(x) = x², representing a parabola with its vertex at the origin (0,0).

So, to shift f(x) = x² three units to the right, we replace x with (x - 3). This means that every x-value in the original function is decreased by 3 units.

So, the answer is g(x) = (x - 3)²