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Transformations of Functions — Shifts, Stretches, Reflections

f(x)+k shifts up; f(x)−k down; f(x+h) left; f(x−h) right; a·f(x) vertical stretch; f(bx) horizontal shrink; −f(x) reflection over x-axis.

Algebra 2Common Core HSF-BF.B.3F-BFVerified correct ✓

Worked examples

The graph of f(x) is given. Describe in words how the graph of g(x) = {a}·f(x − {h}) + {k} is related to the graph of f(x). Identify any shifts, stretches, compressions, or reflections.
Answer:
The graph of f(x) is given. Describe in words how the graph of g(x) = {a}·f(x − {h}) + {k} is related to the graph of f(x). Identify any shifts, stretches, compressions, or reflections.
Answer:

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