$\"\"$

Given that Center $\"\"$ and $\"\"$ .

Center translated 18 units left and 7 units down from the origin.

The new center will be $\"\"$ $\"\"$

$\"\"$

$\"\"$ (Substitute $\"\"$ )

$\"\"$ (Simplify) $\"\"$ $\"\"$ (Equation of a circle)

$\"\"$ (Substitute $\"\"$ , $\"\"$ and $\"\"$ )

$\"\"$ (Simplify)

$\"\"$ (Evaluate powers) $\"\"$

The Equation of a circle is $\"\"$ .