How is the graph of the parent quadratic function transformed to produce the graph of y is equal to negative open paren 2 x plus 6 close paren squared plus 3 ?

Rewrite the squared expression as (2x + 6)² = [2(x + 3)]². The factor 2 multiplying x makes the graph horizontally compressed by a factor of 2, and x + 3 shifts it left 3 units. The negative sign reflects the graph over the x-axis, while +3 shifts it up 3 units. These are the transformations described in choice C.

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