100x^2 +100(y+16)^2=100
You asked:
Investigate the equation: \(100 \cdot {x}^{2} + 100 \cdot {\left( y + 16 \right)}^{2} = 100\).
MathBot Answer:
The graph of the equation \(100 \cdot {x}^{2} + 100 \cdot {\left( y + 16 \right)}^{2} = 100\) is a circle.
The coordinates of its center are \(\left(0, -16\right)\).
Its radius is \(1\).
The cirlce has parameterization: \[\begin{aligned}x\left(\theta\right) &= \cos{\left(\theta \right)}\\y\left(\theta\right) &= -16 + \sin{\left(\theta \right)}\end{aligned}\]