No. Because apart from its apex, any point on the x-axis is mapped to two points - one above the x axis and one below. A function cannot be a one-to-many mapping.
It is a square root mapping. This is not a function since it is a one-to-many mapping.
X = Ay2 + By + C
Yes, it is.
Assuming that a is the leading coefficient of the equation of the parabola, changing it from positive to negative will reflect the parabola along a horizontal line through its minimum - which will then become its maximum.
A parabola
It is a square root mapping. This is not a function since it is a one-to-many mapping.
It is a function because for every point on the horizontal axis, the parabola identified one and only one point in the vertical direction.
A sideways parabola is commonly referred to as a "horizontal parabola." Unlike the standard vertical parabola, which opens upwards or downwards, a horizontal parabola opens to the left or right. Its general equation takes the form (y^2 = 4px) for a right-opening parabola or (y^2 = -4px) for a left-opening parabola, where (p) determines the distance from the vertex to the focus.
X = Ay2 + By + C
Yes, it is.
A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.
A 'Parabola'
Assuming that a is the leading coefficient of the equation of the parabola, changing it from positive to negative will reflect the parabola along a horizontal line through its minimum - which will then become its maximum.
In the formula for calculating a parabola the letters h and k stand for the location of the vertex of the parabola. The h is the horizontal place of the vertex on a graph and the k is the vertical place on a graph.
Y = X2 ===== The graph of this parabola is crossed only at a point and once by a vertical line, so it is a function. Passes the vertical line test.
The parabola
A parabola