What does the equation `(x-a)^2+(y-b)^2=r^2` become when the axes are transferred to parallel axes through the pint `(a-c ,\ b)?`

Explanation

To solve the problem, we need to transform the given equation \((x-a)^2 + (y-b)^2 = r^2\) when the axes are shifted to parallel axes through the point \((a-c, b)\).

### Step-by-Step Solution:

1. **Identify the Shift**:
The new coordinates will be defined as:
\[
x' = x + (a - c) \quad \text{and} \quad y' = y
...