APFIVE Sequence of Function Transformations
The function $$g(x) = -2f\left(\frac{1}{2}(x + 3)\right) - 1$$ is a transformation of the parent function $$f(x)$$. Which sequence of transformations, when applied to $$f(x)$$, produces $$g(x)$$?
A
Shift right 3, compress horizontally by $$\frac{1}{2}$$, stretch vertically by 2, reflect over y-axis, shift down 1
B
Shift right 3, stretch horizontally by 2, compress vertically by $$\frac{1}{2}$$, reflect over x-axis, shift up 1
C
Shift left 3, compress horizontally by $$\frac{1}{2}$$, stretch vertically by 2, reflect over x-axis, shift down 1
D
Shift left 3, stretch horizontally by 2, stretch vertically by 2, reflect over x-axis, shift down 1
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