Y = X2
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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.
If a vertical line passes through the supposed function at only one spot then you have a function.
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.
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.
Interpreting that function as y=x2+2x+1, the graph of this function would be a parabola that opens upward. It would be equivalent to y=(x+1)2. Its vertex would be at (-1,0) and this vertex would be the parabola's only zero.
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'
The parabola
A 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.
It is a square root mapping. This is not a function since it is a one-to-many mapping.
Any equation where variable a = some multiple of variable b2 + constant will graph a parabola.
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.
The point on the parabola where the maximum area occurs is at the vertex of the parabola. This is because the vertex represents the maximum or minimum point of a parabolic function.
When the discriminant of a quadratic function is zero, the graph of the function is a parabola that touches the x-axis at a single point, known as a double root. This means that the function has exactly one real solution, and the vertex of the parabola is located on the x-axis. In this case, the parabola opens either upwards or downwards but does not cross the x-axis.
If a vertical line passes through the supposed function at only one spot then you have a function.