[World]

Anyone that knows graphing really well, can you graph this:
x²-10x-8y+25=0
or
(x-5)²=-8y

[sjb]

Which, as your two equations are not identical.

In any event, why not set up a table

x= -10; y = ?
x= -9; y = ?
...

etc

[skyjumper]

Start by putting the equation above in standard form. (I just tested on this today :3) Then it will be clearer. (Hint: What is it, an elipse, circle, hyperbola, etc.) and same with the second. (Its parabolic). 

[fish2s]

Rearange to give y = 0.125*(x-5)² therefore touches the graph at (5,0) crosses at (0,[25/8]) and is a parabola.

[darko]

can you use some of mathematical programs?
,
that is using Mathematica, with very simple program:
f[x_] = (x^2 - 10 x)/8
Plot[f

• , {x, -10, 10}]

You can try with changing of {x,min,max} or use Manipulate function, any other questions?

oh, it is a wrong function it shold be (x^2 - 10 x+25)/8, but principles are the same