Graph y²-2x+2y-1=0 if vertex is (-1,-1) focus (-½,-1) directrex (-3/2) axis of symmetry (-1)

To graph the given parabola, we first need to analyze the equation \( y^2 - 2x + 2y - 1 = 0 \) and convert it into a standard form. Given the vertex, focus, directrix, and axis of symmetry, we can determine the direction of the parabola and its characteristics.

### Step 1: Rewriting the Equation
We are given:
- **Vertex**: \( (-1, -1) \)
- **Focus**: \( \left(-\frac{1}{2}, -1\right) \)
- **Directrix**: \( x = -\frac{3}{2} \)
- **Axis of Symmetry**: \( y = -1 \

Learn how to graph the parabola y²-2x+2y-1=0 with detailed step-by-step instructions. Understand the properties of parabolas, vertex form, focus-directrix property, and more. Suitable for high school students.

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