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Which function, g(x), represents the graph of f(x)=x^2-2 shifted up 3 units

User Nikky
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Final answer:

The function g(x) that reflects f(x)=x^2-2 shifted up by 3 units is g(x)=x^2+1.

Step-by-step explanation:

The function g(x) that represents the graph of f(x)=x^2-2 shifted up by 3 units is g(x)=x^2 + 1.

To achieve this, we add 3 to the original function f(x), which gives us g(x) = f(x) + 3 = x^2 - 2 + 3.

Simplifying this, we get g(x) = x^2 + 1. This process of shifting a function up or down is a basic transformation in algebra, where adding a positive constant to a function results in a vertical shift upwards by the magnitude of that constant.

User Mohd Danish Khan
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