The graph of f(x) = |x| is vertically stretched by a factor of 3, shifted left 2 units, shifted down 4 units and reflected over the x-axis. What is the function equation of the resulting graph?

The final transformed function becomes:

Step-by-step explanation:

The first transformation (vertically stretched by a factor of 3) means we multiply by 3 the original function:

second transformation (shifted left 2 units) means we add 2 units to "x":

third transformation (shifted down 4 units) implies that we subtract 4 units to the full functional expression:

fourth transformation (reflected over the x-axis) implies that we multiply the full functional expression by "-1":

Step-by-step explanation:

Step 1:  Add the vertical stretch

Step 2:  Shift it to the left 2 units

Step 3:  Shift it down 4 units

Step 4:  Reflect it across the x-axis

step-by-step explanation:

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