Question

how would you solve these equations?

y^2+2y-2x+5=0

and

(x^2/16)-(y+1)^2/(25)=1

thank you!

Answer 1

What exactly do you mean by solve? if you have two variables, it takes two independent equations to find possible solutions

Answer 2

well for the first one i'm pretty sure it is a parabola, and i'm confused on how you would find the vertex focus and directrix

Answer 3

y^2+2y=2x-5
y^2+2y+1=2x-5+1
(y+1)^2=2x-4
(y+1)^2=4*(1/2)(x-2)

vertex (2,-1)
focus (2.5,-1)
directrix x=1.5