y+x²=6

asked by guest
on Sep 22, 2024 at 4:30 am



You asked:

Investigate the equation: \(y + {x}^{2} = 6\).

MathBot Answer:

The graph of the equation \(y + {x}^{2} = 6\) is a parabola.

The coordinates of its vertex are: \(\left(0, 6\right)\)

The coordinates of its focus are: \(\left(0, \frac{23}{4}\right)\)

The directrix has equation: \(- 4 y + 25 = 0\).

The parabola has parameterization: \[\begin{aligned}x\left(\theta\right) &= \theta\\y\left(\theta\right) &= 6 - \theta^{2}\end{aligned}\]

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