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.
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.
Raise to the power of .
Raise to the power of .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Find the vertices.
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.
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.
Find the eccentricity by using the following formula.
Substitute the values of and into the formula.
Simplify the numerator.
Raise to the power of .
Raise to the power of .
Rewrite as .
Pull terms out from under the radical, assuming positive real numbers.
Find the focal parameter.
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 .
Combine and .
Simplify .
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 seven hundred fifty-one million nine hundred forty-seven thousand eight hundred eighty-six

Interesting facts

• 751947886 has 8 divisors, whose sum is 1128103704
• The reverse of 751947886 is 688749157
• Previous prime number is 7013

Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 55
• Digital Root 1

Name

Name one billion six hundred million eight hundred six thousand four hundred seventeen

Interesting facts

• 1600806417 has 32 divisors, whose sum is 1939451904
• The reverse of 1600806417 is 7146080061
• Previous prime number is 467

Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 33
• Digital Root 6

Name

Name one billion nine hundred twenty-two million two hundred forty-three thousand nine hundred forty-three

Interesting facts

• 1922243943 has 8 divisors, whose sum is 1940585920
• The reverse of 1922243943 is 3493422291
• Previous prime number is 2677

Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 39
• Digital Root 3