Identify each equation without completing the square.
$y^2-4x-4y=0$

Verified step by step guidance

1. Start by rearranging the given equation \( y^2 - 4x - 4y = 0 \) to group the terms involving \( y \) together. This will help in identifying the type of conic section it represents.
2. Rewrite the equation as \( y^2 - 4y = 4x \). This form makes it easier to see the relationship between the variables.
3. Notice that the equation is in the form \( y^2 + By = Cx \), which is characteristic of a parabola. In this case, the equation is not in the standard form yet, but it suggests a parabolic shape.
4. To further confirm, recognize that a parabola can be expressed in the form \( (y - k)^2 = 4p(x - h) \) or \( (x - h)^2 = 4p(y - k) \). Here, the presence of \( y^2 \) and the absence of \( x^2 \) indicates a vertical parabola.
5. Thus, without completing the square, we can identify the equation \( y^2 - 4x - 4y = 0 \) as representing a parabola that opens horizontally, based on its structure and the terms involved.