Match the Quadratic Function y = x²/4 + 2 to Its Graph

The function given is $y = \frac{x^2}{4} + 2$, which is a quadratic function with a vertex at $(0, 2)$. The function is in the form $y = a(x-h)^2 + k$, where $a = \frac{1}{4}$, $h = 0$, and $k = 2$. This tells us that the parabola opens upwards with its vertex at $(0, 2)$, and it's wider than the standard parabola $y = x^2$ because $\frac{1}{4}$ is less than 1.

To find the correct graph, look for the one featuring a vertex at $(0, 2)$ with an upward opening, and wider spread due to the smaller coefficient. When comparing the graphs, the graph labeled as choice 1 clearly shows these characteristics, indicating the correct match for the function.

Therefore, the solution corresponds to the graph labeled as choice 1.