Algebraic Properties of 3D Graphs

Here, we'll be exploring the algebraic properties of 3D graphs, because why not?

Let's start with the basics: the 3D graph of a parabola. This is the 2D representation of a 3D curve, and it's a real showstopper:

Solving for x:

Given the equation x^2 + bx + c = 0, we can solve for x using the quadratic formula. But, let's be real, who needs the quadratic formula when you have a graph?

Check out our graphing calculator, which will show you the solution to any quadratic equation:

Solving for y:

Now, let's talk about solving for y. This is where things get really interesting, because we're talking 3D space here. Think of all the possible y values for a given x value...

But, let's be real, we're not going to actually do that here. Instead, we'll just talk about it.