How do you find the y-coordinate of the vertex of the parabola represented by the equation y = x² + 2?

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To find the y-coordinate of the vertex of a parabola given by the equation in the form of y = ax² + bx + c, we can follow these steps:

1. **Identify coefficients**: In our case, the given equation is y = x² + 2. Here, a = 1, b = 0, and c = 2.

2. **Calculate the x-coordinate of the vertex**: The x-coordinate of the vertex can be found using the formula x = -b / (2a). For our equation, this becomes:

x = -0 / (2 * 1) = 0

3. **Substitute back to find y-coordinate**: Now that we have the x-coordinate, we can substitute it back into the original equation to find the y value:

y = (0)² + 2 = 0 + 2 = 2

4. **Conclusion**: Therefore, the y-coordinate of the vertex of the parabola represented by the equation y = x² + 2 is 2.

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