transformations of linear and exponential...
Post on 12-May-2018
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Key Ideas:
• Vertical translations can be performed on linear
and exponential graphs using f(x) + k, where k is
the value of the vertical shift.
• A vertical shift moves the graph up or down k
units.
• If k is positive, the graph is translated up k units.
• If k is negative, the graph is translated down k
units.
Key Ideas, continued.
• Translations are one type of transformation.
• Given the graphs of two functions that are
vertical translations of each other, the value of
the vertical shift, k, can be found by finding the
distance between the y-intercepts.
Graph g(x).
• For each point on f(x),
plot a point 5 units
lower on the graph and
connect the points.
• g(x) is a vertical shift
down 5 units of f(x).
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