Examples of using Hyperbola in English and their translations into Arabic
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Colloquial
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Political
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Ecclesiastic
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Ecclesiastic
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Computer
The two asymptotes of a hyperbola.
We're doing with a hyperbola, that should be a minus.
You can graph your hyperbola.
Because it will never, a hyperbola will never cross the asymptotes.
So that would be one hyperbola.
So if you go out here, the hyperbola is going to have a higher slope than the asymptote line.
Which of the following represents a hyperbola?
And that makes sense because this hyperbola never crosses y equals 0.
So that lets us know that we're dealing with a hyperbola.
And the difference between this hyperbola and this hyperbola the center of this hyperbola is at the point x is equal to 1 y is equal to minus 1.
So those are both points on this hyperbola.
So if we find a line that's tangent maybe there and there on the hyperbola, then we might have found our common tangent with positive slope.
The case a = 1 is called the unit hyperbola.
Previously it was believed that Apollonius the hyperbola, the parable, and ellipse sections were obtained from different cones according to the vertex angle.
That's what I always like to do whenever I'm graphing a hyperbola.
And so there's two ways that a hyperbola could be written.
And then I willdo another video where I actually shift the hyperbola.
But assuming that we're dealing with a circle, an ellipse, or a hyperbola, there will be an x squared term and a y squared term.
So the points a, 0, and the point minus a, 0, are both on this hyperbola.
And what I like to do whenever I have a hyperbola is solve for y.
If one of them has a negative number in front of them and the other one has a positive number,that tells you that we're probably going to be dealing with a hyperbola.
So, that's one and that's the other asymptote. then the hyperbola will look something like this.
Let me do it here-- actually,I want to do that other hyperbola.
If the yterm was positive and the x term had a negative sign, then the hyperbola would open upwards and downwards.
We have it in standard form and, yes, indeed, we do have a hyperbola.
Let's see if we can tackle a slightly more difficult hyperbola graphing problem.
That that number is a constant regardless of where we are on the hyperbola.
Which set of equations represents the asymptotes of the hyperbola's graph?
And then the last one, you might have seen this before, is a hyperbola.
So let's figure out the slope of the two asymptotes here and then we can shift those two slopes so thatit's appropriate for this hyperbola right here.