About x^2 + y^2 +z^2 = 2z?

I know that this is a sphere and that it will be shifted, I believe, but I don't understand how I would know how to graph this without using a calculator. Does anyone know WHY it's shifted over, or another way of representing this equation that might illuminate what's going on here?

Bless you, gridwk, bless you!

3 Answers

  • x² + y² + z² = 2z

    x² + y² + z² - 2z = 0

    x² + y² + z² - 2z + 1 = 1

    x² + y² + (z - 1)² = 1

    Center (0,0,1)

    Radius = 1

  • X 2 Y 2 Z 2

  • X 2 Y 2 Z 2 1

Hottest videos

Leave a Reply

Your email address will not be published. Required fields are marked *

Related Posts