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Answer:
(c) y = 3|x| + 5
Step-by-step explanation:
The vertex is at (0, 5), so the basic function has been translated up 5 units.
The slope of each line has a magnitude of 3, so the basic function has been scaled vertically by a factor of 3.
The transformation ...
g(x) = c·f(x) +h
is a vertical scaling by a factor of c, and a translation upward by h units. Here, we have c=3 and h=5. The basic function is f(x) = |x|, so the transformed function shown on the graph is ...
y = 3|x| +5
