Write a function for the graph described as a transformation of y=x^2.

1. y=x^2 experiences a vertical stretch of factor 2 and then a shift right of 3 units.

2. y=x^2 experiences a shift left by 2 units, then a horizontal shrink factor of 1/2, then a shift down of 5 units.

3. y=x^2 experiences a shift to the right 1 unit, is stretched vertically by a factor of 1/2, then is shifted down 4 units.

4. y=x^2is reflected across the x-axis, stretched vertically by a factor of 3, and shifted left 7 units.

Mathematics
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