If a vertical line passes through the supposed function at only one spot then you have a function.
No, it does not. You can tell if something is a function or not by using the vertical line test. If there is more than one point at any vertical line, it is not a function.
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 given equation is not that of a parabola.
Standard notation for a quadratic function: y= ax2 + bx + c which forms a parabola, a is positive , minimum value (parabola opens upwards on an x-y graph) a is negative, maximum value (parabola opens downward) See related link.
It depends on where points h and k are, in which parabola. Since you have chosen not to share that information, there cannot be any sensible answer to this question.
No, it does not. You can tell if something is a function or not by using the vertical line test. If there is more than one point at any vertical line, it is not a function.
The equation does not represent that of a parabola.
Yes, a parabola can represent the graph of a function, specifically a quadratic function of the form ( y = ax^2 + bx + c ). However, not all parabolic shapes qualify as a function; for instance, if a parabola opens sideways (like ( x = ay^2 + by + c )), it fails the vertical line test, which states that a function must have only one output for each input. Thus, while upward or downward-opening parabolas are indeed functions, sideways-opening parabolas are not.
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'
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.
A parabola
The parabola
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 parent function is a basic function that serves as a foundation for a family of functions. The quadratic function, represented by ( f(x) = x^2 ), is indeed a parent function that produces a parabola when graphed. However, there are other parent functions as well, such as linear functions and cubic functions, which produce different shapes. Therefore, while the parabola is one type of parent function, it is not the only one.
It is a square root mapping. This is not a function since it is a one-to-many mapping.