Standard form to Equation of Circle Completing the Square Standard form to Equation of Circle

Idea Go from standard from to vertex form for parabola Go from standard from to equation of circle

Process 1 variable Group variables – coefficient of first term should be 1 Move other terms (usually integers or constant to other side) Take coefficient of the second term divide by 2 and square it Add value from step 3 to both sides Factor – you have a trinomial and you are going to make it a binomial squared (x sign of second term square root of third)squared

Example

Try these

2 Variables What do you think you would do if there were two variables squared, like a circle.

Complete the square twice Follow same six steps we discussed, but do them for both the x variable and the y variable. When completing the square for each variable add the value inside the ( )

Practice Due Wed Come up with two questions to review for the test, can be from quizzes or homework.