Graph (x^2)/9-(y^2)/16=1

Graph (x^2)/9-(y^2)/16=1
Simplify each term in the equation in order to set the right side equal to . The standard form of an ellipse or hyperbola requires the right side of the equation be .
This is the form of a hyperbola. Use this form to determine the values used to find vertices and asymptotes of the hyperbola.
Match the values in this hyperbola to those of the standard form. The variable represents the x-offset from the origin, represents the y-offset from origin, .
The center of a hyperbola follows the form of . Substitute in the values of and .
Find , the distance from the center to a focus.
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Find the distance from the center to a focus of the hyperbola by using the following formula.
Substitute the values of and in the formula.
Simplify.
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Raise to the power of .
Raise to the power of .
Add and .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Find the vertices.
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The first vertex of a hyperbola can be found by adding to .
Substitute the known values of , , and into the formula and simplify.
The second vertex of a hyperbola can be found by subtracting from .
Substitute the known values of , , and into the formula and simplify.
The vertices of a hyperbola follow the form of . Hyperbolas have two vertices.
Find the foci.
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The first focus of a hyperbola can be found by adding to .
Substitute the known values of , , and into the formula and simplify.
The second focus of a hyperbola can be found by subtracting from .
Substitute the known values of , , and into the formula and simplify.
The foci of a hyperbola follow the form of . Hyperbolas have two foci.
Find the eccentricity.
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Find the eccentricity by using the following formula.
Substitute the values of and into the formula.
Simplify the numerator.
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Raise to the power of .
Raise to the power of .
Add and .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Find the focal parameter.
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Find the value of the focal parameter of the hyperbola by using the following formula.
Substitute the values of and in the formula.
Raise to the power of .
The asymptotes follow the form because this hyperbola opens left and right.
Simplify .
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Add and .
Combine and .
Simplify .
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Add and .
Combine and .
Move to the left of .
This hyperbola has two asymptotes.
These values represent the important values for graphing and analyzing a hyperbola.
Center:
Vertices:
Foci:
Eccentricity:
Focal Parameter:
Asymptotes: ,
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Name

Name one hundred forty-four million eight hundred forty-eight thousand nine hundred forty-two

Interesting facts

  • 144848942 has 16 divisors, whose sum is 262919520
  • The reverse of 144848942 is 249848441
  • Previous prime number is 17

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 44
  • Digital Root 8

Name

Name three hundred sixty-two million six hundred twenty-four thousand three hundred forty-nine

Interesting facts

  • 362624349 has 8 divisors, whose sum is 484127712
  • The reverse of 362624349 is 943426263
  • Previous prime number is 773

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 39
  • Digital Root 3

Name

Name four hundred eighty-two million five hundred fifty-two thousand one hundred thirty

Interesting facts

  • 482552130 has 8 divisors, whose sum is 772083456
  • The reverse of 482552130 is 031255284
  • Previous prime number is 15

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 30
  • Digital Root 3