# Graph ((x-1)^2)/9+((y-3)^2)/4=1

Graph ((x-1)^2)/9+((y-3)^2)/4=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 an ellipse. Use this form to determine the values used to find the center along with the major and minor axis of the ellipse.
Match the values in this ellipse to those of the standard form. The variable represents the radius of the major axis of the ellipse, represents the radius of the minor axis of the ellipse, represents the x-offset from the origin, and represents the y-offset from the origin.
The center of an ellipse 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 ellipse by using the following formula.
Substitute the values of and in the formula.
Simplify.
Raise to the power of .
Raise to the power of .
Multiply by .
Subtract from .
Find the vertices.
The first vertex of an ellipse can be found by adding to .
Substitute the known values of , , and into the formula.
Simplify.
The second vertex of an ellipse can be found by subtracting from .
Substitute the known values of , , and into the formula.
Simplify.
Ellipses have two vertices.
:
:
:
:
Find the foci.
The first focus of an ellipse can be found by adding to .
Substitute the known values of , , and into the formula.
The second vertex of an ellipse can be found by subtracting from .
Substitute the known values of , , and into the formula.
Simplify.
Ellipses 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 .
Multiply by .
Subtract from .
These values represent the important values for graphing and analyzing an ellipse.
Center:
:
:
:
:
Eccentricity:
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### Name

Name one billion two hundred ninety-two million fifty-four thousand four hundred ninety-five

### Interesting facts

• 1292054495 has 4 divisors, whose sum is 1550465400
• The reverse of 1292054495 is 5944502921
• Previous prime number is 5

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 41
• Digital Root 5

### Name

Name nine hundred fifty-six million four hundred fifty-seven thousand one hundred one

### Interesting facts

• 956457101 has 4 divisors, whose sum is 967203900
• The reverse of 956457101 is 101754659
• Previous prime number is 89

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 38
• Digital Root 2

### Name

Name two billion eighty-six million three hundred fifty-eight thousand four hundred twenty-nine

### Interesting facts

• 2086358429 has 4 divisors, whose sum is 2087429760
• The reverse of 2086358429 is 9248536802
• Previous prime number is 1951

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 47
• Digital Root 2