Question

Math

Posted 3 months ago

```
Write the equation of the circle graphed below.
$+\underset{=}{-x}$
```

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Answer from Sia

Posted 3 months ago

Solution by Steps

step 1

Identify the center and radius of the circle from the given information

step 2

Use the standard form equation for a circle $(x - h)^2 + (y - k)^2 = r^2$, where $(h, k)$ is the center and $r$ is the radius

step 3

Substitute the center $(1, -1)$ and radius $1$ into the equation

step 4

Write the equation as $(x - 1)^2 + (y + 1)^2 = 1^2$

step 5

Simplify the equation to $(x - 1)^2 + (y + 1)^2 = 1$

Answer

The equation of the circle is $(x - 1)^2 + (y + 1)^2 = 1$.

Key Concept

Standard form equation of a circle

Explanation

The standard form equation of a circle is used to describe the set of all points in a plane that are equidistant from a given point called the center. The distance from the center to any point on the circle is the radius.

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