Question 386168
given:x^2 + 2x - 8y + 25 = 0
complete the square
(x^2+2x+1) -8y = -25+1
(x+1)^2-8y=-24
8y=(x+1)^2+24
÷ both sides by 8
y=(1/8)*(x+1)^2+3

This is a parabola that opens upward with vertex at (-1,3)

see graph below:

{{{ graph( 300, 200, -10, 5,-5, 5, (1/8)*(x+1)^2+3) }}}