To graph the equation \( y = x^2 + 2 \), follow these steps:

1. **Identify the basic shape**: The equation \( y = x^2 + 2 \) represents a parabola. Since the coefficient of \( x^2 \) is positive, the parabola opens upwards.
2. **Determine the vertex**: The vertex of the parabola is at the point where the value of \( x \) produces the minimum value for \( y \). In this case, the vertex is at \( (0, 2) \), because when \( x = 0 \), \( y = 2 \).
3. **Plot points**: Choose values of \( x \) to compute corresponding values of \( y \).
    - When \( x = -2 \), \( y = (-2)^2 + 2 = 6 \)
    - When \( x = -1 \), \( y = (-1)^2 + 2 = 3 \)
    - When \( x = 0 \), \( y = 0^2 + 2 = 2 \)
    - When \( x = 1 \), \( y = (1)^2 + 2 = 3 \)
    - When \( x = 2 \), \( y = (2)^2 + 2 = 6 \)
4. **Sketch the graph

Learn how to graph the quadratic function y = x^2 + 2 by identifying key points like the vertex, plotting values, and sketching the parabola. This lesson covers algebraic graphing concepts, suitable for students in Grades 8-10.

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