Yes but it is not a straight line because it looks like an umbrella and it is called a parabola
It is the axis of symmetry.
No vertical line will intersect the graph in more than one point. The fundamental flaw is that no graph can show that it does not happen beyond the domain of the graph.
The graph of the quadratic parent function, ( f(x) = x^2 ), is a parabola that opens upward. It has a vertex at the origin (0,0), which is the lowest point of the graph. The axis of symmetry is the vertical line ( x = 0 ), and the graph is symmetric with respect to this line. As ( x ) moves away from the vertex, the ( y )-values increase, demonstrating a U-shape.
The parabola
The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.
the graph of a quadratic function is a parabola. hope this helps xP
It is the axis of symmetry.
No vertical line will intersect the graph in more than one point. The fundamental flaw is that no graph can show that it does not happen beyond the domain of the graph.
The zeros of a quadratic function, if they exist, are the values of the variable at which the graph crosses the horizontal axis.
Yes. And the question is ...
The graph of the quadratic parent function, ( f(x) = x^2 ), is a parabola that opens upward. It has a vertex at the origin (0,0), which is the lowest point of the graph. The axis of symmetry is the vertical line ( x = 0 ), and the graph is symmetric with respect to this line. As ( x ) moves away from the vertex, the ( y )-values increase, demonstrating a U-shape.
The parabola
Some do and some don't. It's possible but not necessary.
The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.
Yes.
That the function is a quadratic expression.
Changing the constant in a function will shift the graph vertically but will not change the shape of the graph. For example, in a linear function, changing the constant term will only move the line up or down. In a quadratic function, changing the constant term will shift the parabola up or down.