It is a function because for every point on the horizontal axis, the parabola identified one and only one point in the vertical direction.
The maximum.
maximum point :)
Opens downward.
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.
The expression (2 - x^2) represents a mathematical function where you subtract the square of a variable (x) from 2. This expression can also be interpreted as a quadratic function in the form of (f(x) = -x^2 + 2), which opens downward and has a maximum point at (x = 0) with a value of 2. The graph of this function is a parabola.
If the value of the variable is negative then the parabola opens downwards and when the value of variable is positive the parabola opens upward.
The maximum.
I think it's like this: x2+3x-5 So if the x2 part is a positive then it opens upward but if it's negative it goes downward.
The maximum point.
maximum point :)
maximum point :)
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.
If a is greater than zero then the parabola opens upward.
Opens downward.
When you look at the parabola if it opens downwards then the parabola has a maximum value (because it is the highest point on the graph) if it opens upward then the parabola has a minimum value (because it's the lowest possible point on the graph)
Opening up, the vertex is a minimum.
Finding the vertex of the parabola is important because it tells you where the bottom (or the top, for a parabola that 'opens' downward), and thus where you can begin graphing.