y= -x^2+4

asked by guest
on Oct 27, 2024 at 12:21 am



You asked:

Investigate the equation: \(y = -{x}^{2} + 4\).

MathBot Answer:

The graph of the equation \(y = -{x}^{2} + 4\) is a parabola.

The coordinates of its vertex are: \(\left(0, 4\right)\)

The coordinates of its focus are: \(\left(0, \frac{15}{4}\right)\)

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

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

+ Submit Question