The x and y axes cross at the point of origin which is at (0, 0) on the Cartesian plane
Easy way to remember which axis is which: x is a cross (across)
Easy way to remember which axis is which: x is a cross (across)
It will touch the x-axis and not cross it.
Any point on the graph can be the center of a circle. If the center is on the x-axis, then the circle is symmetric with respect to the x-axis.
A zero of a function is a point at which the value of the function is zero. If you graph the function, it is a point at which the graph touches the x-axis.
The origin. This is the point at which each axis is at 0.
The graph will cross the y-axis once but will not cross or touch the x-axis.
the origin
The origin
The origin
When the graph of a quadratic crosses the x-axis twice it means that the quadratic has two real roots. If the graph touches the x-axis at one point the quadratic has 1 repeated root. If the graph does not touch nor cross the x-axis, then the quadratic has no real roots, but it does have 2 complex roots.
The origin of the graph.
Easy way to remember which axis is which: x is a cross (across)
Easy way to remember which axis is which: x is a cross (across)
It will cross the x-axis twice.
It will touch the x-axis and not cross it.
If the discriminant is negative, the equation has no real solution - in the graph, the parabola won't cross the x-axis.