Final Answer:
The function g(x) resulting from shifting f(x) = x^2 + 5x - 1 three units to the left is g(x) = x^2 + 5x - 10.
Step-by-step explanation:
The general form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants.
To shift the function f(x) three units to the left, subtract 3 from the variable, resulting in g(x) = (x + 3)^2 + 5(x + 3) - 1.
Expand and simplify g(x) to obtain the shifted quadratic function.
g(x) = (x^2 + 6x + 9) + 5x + 15 - 1.
Combine like terms to get g(x) = x^2 + 5x - 10.
Therefore, g(x) = x^2 + 5x - 10 is the function resulting from shifting f(x) three units to the left.