Which set of transformations is needed to graph f of x is equal to negative 2 sine x plus 3 from the parent sine function?

Starting with the parent function y = sin x, the coefficient −2 multiplies all output values by −2. The negative sign reflects the graph across the x-axis, and the factor of 2 stretches it vertically by a factor of 2. The +3 then translates the graph 3 units up, so the correct choice is the reflection, vertical stretch, and upward translation.

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