Graph (x^2)/4+(y^2)/9=1 | Mathway

Enter a problem... Algebra Examples Popular Problems Algebra Graph (x^2)/4+(y^2)/9=1 Step 1Simplify 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 .Step 2This 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.Step 3Match 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.Step 4The center of an ellipse follows the form of . Substitute in the values of and .Step 5Find , the distance from the center to a focus.Tap for more steps...Step 5.1Find the distance from the center to a focus of the ellipse by using the following formula.Step 5.2Substitute the values of and in the formula.Step 5.3Simplify.Tap for more steps...Step 5.3.1Raise to the power of .Step 5.3.2Raise to the power of .Step 5.3.3Multiply by .Step 5.3.4Subtract from .Step 6Find the vertices.Tap for more steps...Step 6.1The first vertex of an ellipse can be found by adding to .Step 6.2Substitute the known values of , , and into the formula.Step 6.3Simplify.Step 6.4The second vertex of an ellipse can be found by subtracting from .Step 6.5Substitute the known values of , , and into the formula.Step 6.6Simplify.Step 6.7Ellipses have two vertices.: : : : Step 7Find the foci.Tap for more steps...Step 7.1The first focus of an ellipse can be found by adding to .Step 7.2Substitute the known values of , , and into the formula.Step 7.3Simplify.Step 7.4The first focus of an ellipse can be found by subtracting from .Step 7.5Substitute the known values of , , and into the formula.Step 7.6Simplify.Step 7.7Ellipses have two foci.: : : : Step 8Find the eccentricity.Tap for more steps...Step 8.1Find the eccentricity by using the following formula.Step 8.2Substitute the values of and into the formula.Step 8.3Simplify the numerator.Tap for more steps...Step 8.3.1Raise to the power of .Step 8.3.2Raise to the power of .Step 8.3.3Multiply by .Step 8.3.4Subtract from .Step 9These values represent the important values for graphing and analyzing an ellipse.Center: : : : : Eccentricity: Step 10

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