y=x²-2x-3

asked by guest
on Jan 08, 2025 at 5:57 am



You asked:

Investigate the equation: \(y = {x}^{2} - 2 x - 3\).

MathBot Answer:

The graph of the equation \(y = {x}^{2} - 2 x - 3\) is a parabola.

The coordinates of its vertex are: \(\left(1, -4\right)\)

The coordinates of its focus are: \(\left(1, - \frac{15}{4}\right)\)

The directrix has equation: \(4 y + 17 = 0\).

The parabola has parameterization: \[\begin{aligned}x\left(\theta\right) &= 1 + \theta\\y\left(\theta\right) &= -4 + \theta^{2}\end{aligned}\]

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