00:02
So you want to write this in the standard form again.
00:06
So again, we'll just keep the like like terms together.
00:09
So x squared minus 4x.
00:17
So the equation again, right, this is correct.
00:34
Okay, we'll complete the square.
00:36
This is square minus 2 times 2x plus 2 square minus y square is kept as it is and then g square plus 2g plus 1 plus 3 since i added a 2 square here 4 and then i've subtracted a 1 here minus 1 so this is x minus 2 square minus y square minus g minus 1 square is exactly equal to 0 so what you get is that x minus 2 square is y square square plus g minus 1 square so the standard form and how do we draw it okay so for convenience what i'll do is i'll draw this as my x -axis and this is my y x and the equation that we want to figure out is x -minez square is y square so recall remember this that if x is 2 right so we call remember this that if x is 2 right so so what happens is that at every point i get a circle of certain radius.
02:54
So and the radius changes right.
03:01
So let's say if x is 2, 2 is here, then i get y square plus g minus 1 square is 0.
03:07
This means that y is 0 g is exactly equal to 1...