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Q: Why can a hyperbola never touch and axis on a graph?
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When the discriminant is negative will the graph of the function cross or touch?

The graph will cross the y-axis once but will not cross or touch the x-axis.


What are the followings-hyberbola-asymptotes of hyperbola-centre of hyperbola-conjugated diameter of hyperbola-diameter of hyperbola-directrices of hyperbola-eccentricity of hyperbola?

Asymptotes are the guidelines that a hyperbola follows. They form an X and the hyperbola always gets closer to them but never touches them. If the transverse axis of your hyperbola is horizontal, the slopes of your asymptotes are + or - b/a. If the transverse axis is vertical, the slopes are + or - a/b. The center of a hyperbola is (h,k). I don't know what the rest of your questions are, though.


In geometry what is an asymptote?

In geometry, an asymptote is a line that approaches the axis of a graph but does not touch or intersect. The line will continue to get closer but will never actually touch the axis. The line is said to be "asymptotic" if this occurs.


How many times will the graph of f(x) = x^2 + 9 Cross the x-axis?

It doesn't cross the x-axis since the position the equation is in is 9 units above the x-axis and the graph never curves the other way so it will never touch the x-axis


What is principal axis in hyperbola?

The principal axis of a hyperbola is the straight line joining its two foci.


Which axis of a hyperbola is prependicular to the conjugate axis?

The transverse axis.


Which axis of a hyperbola is perpendicular to the transverse axis?

the conjugate axis


The transverse axis connects what?

The transverse axis is a connection on a hyperbola. It connects the focus, or center, of the hyperbola, and can connect two together.


If the discriminant is zero the graph of a quadratic function will cross or touch the x-axis time s?

It will touch the x-axis and not cross it.


If the discriminant is zero the graph of a Quadratic function will cross or touch the x-axis time(s)?

It will touch the x-axis once.


What does an X-intercept look like?

On a graph it is where a point on a line/parabola/hyperbola/... Crosses the x-axis. And it can also be in parenthesis when written out. For example: (3,0)


Which axis of a hyperbola is perpendicular to the conjugate axis?

The transverse axis is perpendicular to the conjugate axis.