Using the following equation, find the center and radius of the circle. you must show all work and calculations to receive credit.

x2 − 4x + y2 + 8y = −4

The center is:

(2, -4)

Step-by-step explanation:

We have the following equation

The general equation of a circle has the following form

Where r is the radius and the point (h, k) is the center of the circle

To transform the given equation in the general equation of a circumference we must use the method of square completions

Step 1

Step 2

Add and subtract For an equation of the form

Step 3   Factor the expressions within the parentheses

Step 4 Simplify

Finally

The center is:

(2, -4)

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