Question

Help me with this problem because I do not understand it!

Answer 1

• The center is (-1, 5) and radius is 9

Explanation:

Given function

• x² + 2x + y² = 55 + 10y

Put the equation into standard form:

• (x - h)² + (y - k)² = r², where (h, k) is the center, r- radius

Compete square for both x and y:

• x² + 2x + y² = 55 + 10y
• x² + 2x + 1 + y² - 10y + 25 = 81
• (x + 1)² + (y - 5)² = 9²

The center is (-1, 5) and radius is 9

The graph is attached