What is the focus point of the parabola x= y^2 + 4y + 10

To find the focus of the parabola given by the equation \( x = y^2 + 4y + 10 \), we first need to rewrite the equation in the standard form of a parabola that opens horizontally. The general form of such a parabola is \( (y - k)^2 = 4p(x - h) \), where \((h, k)\) is the vertex and \(p\) is the distance from the vertex to the focus.

### Step-by-Step Solution

1. **Rewrite the equation in a more familiar form**:
   \[
   x = y^2 +

Discover how to find the focus of the parabola x = y^2 + 4y + 10 through a step-by-step solution. This problem involves understanding the vertex form of a parabola and calculating its focus. Suitable for high school students in Grades 10-12.

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