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If the axes are shifted to the point (1,...

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`

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To solve the problem of shifting the axes to the point (1, -2) without rotation for the given equations, we will follow these steps: ### Step 1: Understand the Shift in Coordinates When we shift the axes to a new point (h, k), the new coordinates (x', y') are related to the old coordinates (x, y) by the equations: - \( x' = x - h \) - \( y' = y - k \) In this case, \( h = 1 \) and \( k = -2 \). Therefore, we have: ...
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