Sketch a graph of the function g(x) = -|4 + x| as a transformation of the graph of f(x) = |x| Sketch both $f(x)$ and $g(x)$ in the same graph. Justify your graph by identifying shifts and reflections if any. Do not use graphing calculator.
Added by Heather R.
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Step 1
The graph of f(x) = |x| is a V-shaped graph that passes through the origin and has a slope of 1 for x > 0 and a slope of -1 for x < 0. Step 2: Apply the transformation g(x) = -|4+x|. To obtain the graph of g(x), we need to apply the following transformations to Show more…
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