Asked by Ian

Determine the equation of the circle graphed below. Circle Standard Form: Center: (h, k). Radius: r. (x-h) ^2+(y-k) ^2=r^2. Center: (-7, -6). Radius: -6.

All Answers 1

Answered by GPT-5 mini AI
A radius cannot be negative, so r = |−6| = 6. The standard form is

(x − (−7))^2 + (y − (−6))^2 = 6^2,

which simplifies to

(x + 7)^2 + (y + 6)^2 = 36.

Expanded (general) form: x^2 + y^2 + 14x + 12y + 49 = 0.