draw the following graph: x^2 + 2x + y^2 + z^2 + -6y = 13

Here is the 3D graph of the sphere represented by the equation \((x + 1)^2 + (y - 3)^2 + z^2 = 23\). The center of the sphere is at \((-1, 3, 0)\) and it has a radius of \(\sqrt{23}\).

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Here are 5 related questions for further exploration:
1. What is the general form of a sphere equation in 3D?
2. How do you complete the square for quadratic expressions?
3. How can you find the radius of a sphere from its equation?
4. What does the equation of a circle look like in 2D?
5. How do translations affect the equation of a surface?

**Tip:** Completing the square is a powerful technique to recognize geometric shapes from algebraic equations.

Draw the following graph: x^2 + 2x + y^2 + z^2 - 6y = 13

Explore the solution to the equation x^2 + 2x + y^2 - 6y + z^2 = 13, which represents a sphere in 3D space. This page covers algebraic techniques such as completing the square, transforming the equation into standard sphere form, and identifying the sphere's center and radius. Suitable for high school students in Grades 10-12.

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