Graph the following equation using shifts of a basic function. $f(x)=x^{2}+2$

Step 1 ：The given function is a quadratic function, which is a basic function in mathematics. The graph of a basic quadratic function \(f(x) = x^2\) is a parabola that opens upwards and has its vertex at the origin (0,0).

Step 2 ：The given function \(f(x) = x^2 + 2\) is a vertical shift of the basic quadratic function \(f(x) = x^2\). The "+2" in the function indicates that the graph of the function is shifted 2 units upwards from the graph of the basic function.

Step 3 ：So, to graph the function \(f(x) = x^2 + 2\), we can start by graphing the basic function \(f(x) = x^2\) and then shift the graph 2 units upwards.

Step 4 ：The graph of the function \(f(x) = x^2 + 2\) is a parabola that opens upwards and is shifted 2 units upwards from the graph of the basic function \(f(x) = x^2\).

Step 5 ：\(\boxed{\text{Final Answer: The graph of the function } f(x) = x^2 + 2 \text{ is a parabola that opens upwards and is shifted 2 units upwards from the graph of the basic function } f(x) = x^2.}\)