+577 what is the equation of a parabola with vertex (0,0) and focus (0,-1.5)
how do i find that equation
what are the vertex, focus, and directrix of a parabola with equation \(y=\frac{x^2}{4}\)
how do i find them
what is a focus
what is a directrix
how does the distance of the focus from the vertex affect the shape of a parabola
why
and dude wheres my car
+129845 4py = x^2 p = -1.5 ....so....
4 (-1.5)y = x^2
-6y = x^2
y = (-1/6)x^2
y = x^2 / 4
4y = x^2 the vertex is (0,0)
To find the focal length, we have
4p = 4 ⇒ p = 1
So....the focus is (0, 0+ p) = (0 , 1)
The directrix is y = -1
A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola and the line is called the directrix.
The longer the focus, the wider the parabola.....
