Parabola with Focus (-5,0) & Vertex (-5,-4): Find Equation

[TonyC]

Fins an equation for the parabola with focus at (-5,0) and vertex at (-5,-4).

I have come up with:

x^2 + 10x + 16y + 89 = 0

How far off am I?

 

[HallsofIvy]

Fins an equation for the parabola with focus at (-5,0) and vertex at (-5,-4).

I have come up with:

x^2 + 10x + 16y + 89 = 0

How far off am I?

Can't you check for yourself?

Is it a parabola? (That's easy- there is an x² term but no y² term.)

What is the vertex? (Solve for y, then complete the square.)

What is the focus? (You will need to know the equation for the focus of a given parabola.)

 

[TonyC]

That is what I am having trouble determining. Can you show me step by step how to check myself?