Question 1209660
1. **Simplify the equation:**
   Subtract y² from both sides:
   x² - 4x = 8x + 20

2. **Rearrange the terms:**
   x² - 12x - 20 = 0

3. **Analyze the equation:**
   The equation is in the form of a quadratic equation in x, and there is no y term. This indicates that the equation represents a parabola.

Therefore, the conic section represented by the given equation is a **parabola**.