The value of p is -1 in the given equation of of parabola.
What is a parabola?
A parabola is an approximately U-shaped, mirror-symmetrical planar curve. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. One way to describe a parabola is with a point called focus and a line called the directrix.
Equation for a Parabola
The general formula or the equation for representing a parabola is given by,
y² = 4px
Here, (h,k) being the vertex of the parabola,
y = a(x-h)² + k
x = b(y-k)² + h
The focus of this parabola is given by (p, 0).
The directrix of the parabola is the line drawn perpendicular to the y-axis and traversing the point (-p, 0). The directrix is parallel to the parabola's axis.
What is the value of p in the equation for parabola?
The given equation is,
y² = -4x
Comparing this equation with the general formula of the parabola, we get,
p = -1
Learn more about a parabola here:
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