If the axes are shifted to the point `(1,-2)` without rotation, what do the following equations become? `2x^2+y^2-4x+4y=0` `y^2-4x+4y+8=0`

Explanation

To solve the problem of transforming the given equations when the axes are shifted to the point (1, -2), we will follow these steps:

### Step 1: Understand the Shift in Coordinates
When the axes are shifted to a new origin (h, k), the new coordinates (X, Y) can be expressed in terms of the original coordinates (x, y) as follows:
- \( X = x - h \)
- \( Y = y - k \)

For our case, the new origin is (1, -2), so:
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