Question

If you horizontally shift the square root parent function, (F(x) = √{x}), left two units, what is the equation of the new function?

- A) (G(x) = x + 2)
- B) (G(x) = √{x+2})
- C) (G(x) = -2)
- *D) (G(x) = √{x-2}*

Answer 1

The correct equation after horizontally shifting the square root function F(x) = √{x} left by two units is G(x) = √{x+2}.

Step-by-step explanation:

When you horizontally shift the square root parent function, (F(x) = √{x}), to the left by two units, you are essentially adding 2 to the variable inside the square root before it is evaluated. The equation of the new function that represents this shift would be (G(x) = √{x+2}). To perform a horizontal shift to the left, you add the shift value to the x inside the function. Therefore, option B correctly represents the shifted function.