Presentation on theme: "Converting to Standard Form of an ellipse"— Presentation transcript:
1Converting to Standard Form of an ellipse How do I convert to standard form so that I can graph an ellipse? What are the steps involved?
2Review: What is standard form? Horizontal EllipseORVertical Ellipse
3Lets Do it! Graph the ellipse given by Step 1: Group x and y terms together and add 39 to both sidesStep 2:Factor out the common factor, 4 is common factor to the x terms and 25 is common factor to the y termsStep 3:Complete the square of x and y. (b/2)². Multiply (b/2)² by the coefficients and add to the other side.
4Continuation of example 1 Step 4: Simplify; condense into perfect squares and add the right side Step 5: Divide by 100 to get the right side of your equation equal to 1.25>4 , therefore the ellipse is horizontala= b= (h,k) = (-3,1)Since a=5 , the vertices are 5 units to the left and right of the center, major axis vertices=(-8,1) and (2,1)Since b=2, the vertices are 2 units up and down from the center, minor axis vertices =(-3,-1) and (-3,3)