Use the parent function $$ f(x)=|x| $$ to match the description of the transformed graph to the related function. The graph is shifted 4 units to the left. [Select] The graph is reflected across the x-axis. [ Select] The graph is shifted down 1.5 units. [Select] The graph is vertically stretched, shifted 3 units to the right and up 2 [Select]

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Martin Murray · Accepted Answer

1. Shifted 4 units to the left: $$ f(x) = |x + 4| $$ 2. Reflected across the x-axis: $$ f(x) = -|x| $$ 3. Shifted down 1.5 units: $$ f(x) = |x| - 1.5 $$ 4. Vertically stretched, shifted 3 units to the right and up 2: $$ f(x) = a|x - 3| + 2 $$ (with $$ a > 1 $$)

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