Question

The function g(x) = x^2 + 3. The function f(x)= g(x+2)

the function f(x) is shifted horizontally___?
the function f(x) is shifted vertically___?

Answer 1

The function f(x) is shifted horizontally left by 2 units.

Explanation:

Given the function is g(x) = x² + 3.

Now, f(x) = g(x + 2) = (x + 2)² + 3

Therefore, for a certain value of y, the x-value of function g(x) will be 2 units more than that of function f(x).

Therefore, the function f(x) is shifted horizontally ( the x-axis is the horizontal axis) left by 2 units compared to the function g(x). (Answer)