Presentation on theme: "HOW DO I CONVERT TO STANDARD FORM SO THAT I CAN GRAPH AN ELLIPSE? WHAT ARE THE STEPS INVOLVED? Converting to Standard Form of an ellipse."— Presentation transcript:
HOW DO I CONVERT TO STANDARD FORM SO THAT I CAN GRAPH AN ELLIPSE? WHAT ARE THE STEPS INVOLVED? Converting to Standard Form of an ellipse
Review: What is standard form? OR Horizontal Ellipse Vertical Ellipse
Lets Do it! Graph the ellipse given by Step 1: Group x and y terms together and add 39 to both sides Step 2: Factor out the common factor, 4 is common factor to the x terms and 25 is common factor to the y terms Step 3: Complete the square of x and y. (b/2)². Multiply (b/2)² by the coefficients and add to the other side.
Continuation 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 horizontal a=5 b=2 (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)