x² + y² -2x + 4y - 4=0
You asked:
Investigate the equation: \({x}^{2} + {y}^{2} - 2 x + 4 y - 4 = 0\).
MathBot Answer:
The graph of the equation \({x}^{2} + {y}^{2} - 2 x + 4 y - 4 = 0\) is a circle.
The coordinates of its center are \(\left(1, -2\right)\).
Its radius is \(3\).
The cirlce has parameterization: \[\begin{aligned}x\left(\theta\right) &= 1 + 3 \cos{\left(\theta \right)}\\y\left(\theta\right) &= -2 + 3 \sin{\left(\theta \right)}\end{aligned}\]