

Equation of an EllipseStandard Form equationWorksheet Version of this Web page (same questions on a worksheet) Related: Related: Equation of Ellipse  Major Axis of Ellipse Minor Axis of EllipseVertices Covetices  focus of an ellipse  Is a circle an ellipse?  Eccentricty of Ellipse  area of an ellipse  Orbits of Planets as ellipses  Translate ellipse  images
An ellipse is the set of all points in a plane such that the sum of the distances from T to two fixed points F_{1} and F_{2} is a given constant, K.
TF_{1} + TF_{2} = KF_{1} and F_{2} are both foci(plural of focus) of the ellipse. The major axis is the segment that contains both foci and has its endpoints on the ellipse. These endpoints are called the vertices. The midpoint of major axis is the center of the ellipse. The minor axis is perpendicular to the major axis at the center, and the endpoints of the minor axis are called covertices. The vertices are at the intersection of the major axis and the ellipse. The covertices are at the intersection of the minor axis and the ellipse. You can think of an ellipse as an oval. Picture of an EllipseStandard Form Equation of an EllipseThe general form for the standard form equation of an ellipse is Horizontal Major Axis Example
Vertical Major Axis Example
Can you determine the values of a and b for the equation of the ellipse pictured below?
Can you determine the values of a and b for the equation of the ellipse pictured in the graph below?
What are values of a and b for the standard form equation of the ellipse in the graph ?
Examine the graph of the ellipse belo to determine a and b for the standard form equation?
Examine the graph of the ellipse belo to determine a and b for the standard form equation?
What is the standard form equation of the ellipse in the graph below?
What is the standard form equation of the ellipse in the graph below?
Graph of Ellipse from the Equation
The problems below provide practice creating the graph of an ellipse from the equation of the ellipse.
All practice problems on this page have the ellipse centered at the origin.
Click here for practice problems involving an ellipse not centered at the origin.
Can you graph the equation of the ellipse below and find the values of a and b?
Can you graph the equation of the ellipse below ? WHat are the values of a and b?
Can you graph the equation of the ellipse below ? WHat are the values of a and b?
Determine the values of a and b as well as what the graph of the ellipse with the equation shown below.
Determine the values of a and b as well as what the graph of the ellipse with the equation shown below.
Determine the values of a and b as well as what the graph of the ellipse with the equation shown below.
Determine the values of a and b as well as what the graph of the ellipse with the equation shown below.
Determine the values of a and b as well as what the graph of the ellipse with the equation shown below.
Determine the values of a and b as well as what the graph of the ellipse with the equation shown below.
