# Thread: What kind of graph would y^2 + 8x = 0 be?

1. ## What kind of graph would y^2 + 8x = 0 be?

I know it's a degenerate case because it equals 0, but it's a parabola so I'm not sure what to call it.

2. ## Re: What kind of graph would y^2 + 8x = 0 be?

$y^2+8x=0 \Leftrightarrow y^2=-8x$ (which means their are no real solutions, only complex)

Maybe you can consult wolphram alpha to graph $y^2=-8x$.
You can just call it parabola.

3. ## Re: What kind of graph would y^2 + 8x = 0 be?

Originally Posted by explodingtoenails
I know it's a degenerate case because it equals 0, but it's a parabola so I'm not sure what to call it.
This conic section is a parabola with the general equation

$(y-h)^2=4p(x-k)$

That means your equation describes a parabola opening to the left, the vertex at V(0, 0) and the p = -2 and $x \le 0$.

### y^2=8x graph

Click on a term to search for related topics.