SOLUTION: X+2=xx+y. I need to decide if it is an ellipse, parabola, hyperbola, or a circle. Once I decide I need to put into the right equation and be able to graph it.

Question 600327: X+2=xx+y. I need to decide if it is an ellipse, parabola, hyperbola, or a circle. Once I decide I need to put into the right equation and be able to graph it.

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
X+2=xx+y. I need to decide if it is an ellipse, parabola, hyperbola, or a circle. Once I decide I need to put into the right equation and be able to graph it.
----
Parabola:
y = -x^2+x+2
x^2-x = -y+2
x^2-x++(1/4) = -y+(9/4)
(x-(1/2))^2 = -(y-(9/4))
Vertex at ((1/2),(9/4))
4p = -1
p = -1/4
-------
Focus: (1/2),[(9/4)-(1/4)] = ((1/2),2)
===========================================

----
Cheers,
Stan H.
RELATED QUESTIONS
13xx+13yy=49. I need to decide if it is an ellipse, parabola, hyperbola, or a circle.... (answered by Edwin McCravy)

13xx+13yy=49. I need to decide if it is an ellipse, parabola, hyperbola, or a... (answered by Alan3354)

Xx+yy=x+2. I need to decide if it is an ellipse, parabola, hyperbola, or a circle. Once I (answered by lwsshak3)

I have a parabolic shape that is shown as: y = 2x^2 I also need to graph an ellipse: (y... (answered by Nate,stanbon)

Problem: 3yy+24y-xx-2x+41=0 have to decide if it is a circle, ellipse, parabola, or... (answered by lwsshak3)

How do I identify an equation if it is a circle, parabola, ellipse, or... (answered by rapaljer)

I need help putting this equation into standard form, and if it is a parabola I have to... (answered by Fombitz)

I need to identify the type of conic section x^2+5xy-4y^2=10 A) circle B)... (answered by MathLover1)

What is the shape of the graph of the equation below? ((x-1)^2)/(3^2) +... (answered by stanbon)