The image you uploaded depicts the graphs of two equations and an elliptical region:

1. The red curve represents the equation $x = y^2 - 6y$.
2. The blue curve represents the equation $x = 4y - y^2$.
3. The shaded region is enclosed by the two curves.

The point of intersection between the two curves is noted as $(-5, 5)$, where both curves meet.

Would you like assistance with solving for specific values or analyzing the curves further? Or would you like an explanation on how the graphs interact?

Here are some related questions that might help:

1. How can I find the points of intersection between the two curves algebraically?
2. How do you determine the area of the region enclosed by the curves?
3. What is the nature of the curves (parabolas, hyperbolas, etc.)?
4. How can I compute the slope of the tangent at the point of intersection?
5. How does the transformation of the equation $x = y^2 - 6y$ affect the graph?

Tip: When finding the points of intersection, you can set the two equations equal to each other and solve for $y$.