Question

name the following curves and write in standard equation

x^2+y^2=x-y

x^2-y^2=x+y+1

x^2+4y^2=2x+8y-1

Answer 1

Use Wolfram|Alpha to plot those :)

Answer 2

I do not know what that is. we did not cover it yet

Answer 3

no that is a software

Answer 4

i mean website
http://wolframalpha.com/

Answer 5

\[\begin{array}{rl}x^2+y^2&=&x-y\\x^2-x+y^2+y&=&0\\x^2-x+0.25+y^2+y+0.25&=&0.5\\(x-0.5)^2+(y+0.5)^2&=&0.5\end{array}\]

Answer 6

Now try the other equations yourself :)

Answer 7

1. Put all the things to the left
2. Add in appropriate numbers to both sides so that a perfect square(\(x^2+2kx+k^2\)) is formed
3. Identify the perfect squares

Answer 8

thank you

Answer 9

no problem :)