1 / 22

Writing equations of circles in vertex form

Writing equations of circles in vertex form. MM3G2. Write the equation for the circle in vertex form :. Example 1 Step 1: Move the constant to the other side of the equation & put your common variables together. Example 1.

kirti
Download Presentation

Writing equations of circles in vertex form

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Writing equations of circles in vertex form MM3G2

  2. Write the equation for the circle in vertex form: • Example 1 Step 1: Move the constant to the other side of the equation & put your common variables together

  3. Example 1 • Step 2: Identify the coefficients of the squared terms and divide everything by that coefficient. • Both coefficients are 1 so divide everything by 1

  4. Example 1 • Step 3: Group the x terms together and the y terms together using parenthesis.

  5. Example 1 • Step 4: Complete the square for the x terms Then for the y terms

  6. Example 1 • Step 5: Write the factored form for the groups. What is the center of this circle? What is the radius?

  7. Write the equation for the circle in vertex form: • Example 2 • Step 1: Move the constant to the other side of the equation & put your common variables together

  8. Example 2 • Step 2: Identify the coefficients of the squared terms and divide everything by that coefficient. • Both coefficients are 2 so divide everything by 2

  9. Example 2 • Step 3: Group the x terms together and the y terms together using parenthesis.

  10. Example 2 • Step 4: Complete the square for the x terms Then for the y terms

  11. Example 2 • Step 5: Write the factored form for the groups. What is the center of this circle? What is the radius?

  12. Write the equation for the circle in vertex form: • Example 3 • Step 1: Move the constant to the other side of the equation & put your common variables together

  13. Example 3 • Step 2: Identify the coefficients of the squared terms and divide everything by that coefficient. • Both coefficients are 4 so divide everything by 4

  14. Example 3 • Step 3: Group the x terms together and the y terms together using parenthesis.

  15. Example 3 • Step 4: Complete the square for the x terms Then for the y terms

  16. Example 3 Step 5: Write the factored form for the groups. What is the center of this circle? What is the radius?

  17. Write the equation for the circle in vertex form: • Example 4 • Step 1: Move the constant to the other side of the equation & put your common variables together

  18. Example 4 • Step 2: Identify the coefficients of the squared terms and divide everything by that coefficient. • Both coefficients are 5 so divide everything by 5

  19. Example 4 • Step 3: Group the x terms together and the y terms together using parenthesis.

  20. Example 4 • Step 4: Complete the square for the x terms Then for the y terms

  21. Example 4 • Step 5: Write the factored form for the groups. What is the center of this circle? What is the radius?

  22. You Try! • Write the following equation of a circle in vertex form: What is the center of this circle? What is the radius?

More Related