(x + 5)^2 + (y - 3)^2 = 49
You asked:
Investigate the equation: \({\left( x + 5 \right)}^{2} + {\left( y - 3 \right)}^{2} = 49\).
MathBot Answer:
The graph of the equation \({\left( x + 5 \right)}^{2} + {\left( y - 3 \right)}^{2} = 49\) is a circle.
The coordinates of its center are \(\left(-5, 3\right)\).
Its radius is \(7\).
The cirlce has parameterization: \[\begin{aligned}x\left(\theta\right) &= -5 + 7 \cos{\left(\theta \right)}\\y\left(\theta\right) &= 3 + 7 \sin{\left(\theta \right)}\end{aligned}\]