Question

Find the point to which the origin has to be shifted to eliminate x and y terms (to remove first degree terms) in the following equation 4x²+9y²-8x+4=0​

Answer 1

Answer:

Describe fully the single transformation that maps triangle XVW onto triangle X

′

V

′

W

′

.

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ANSWER

Here the triangle XVW is translation to the triangle X

′

V

′

W

′

.

The ratio of x-coordinates is

4

8

=2, so the scale factor of the dilation that maps (4,−2) onto (8,−4) is 2.

So, translation: (x,y) ↦ (x+1,y+6)