Question

1. center: (-6,-15) radius: √5 write in standard form

Explanation:

Step1: Recall the standard form of a circle equation

The standard form of a circle equation is \((x - h)^2+(y - k)^2=r^2\), where \((h,k)\) is the center and \(r\) is the radius.

Step2: Substitute the given values

Given \(h=-6\), \(k = - 15\), and \(r=\sqrt{5}\). Substitute into the formula:

$$
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$$

Answer:

\((x + 6)^2+(y + 15)^2=5\)