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F-BF.3 Warmup M3-019-A06-V02

Analyze graph transformations across radical, rational, exponential, logarithmic, and other functions; recognize even and odd functions.

Analyze a transformed exponential graph from a,b,h,k

Problem

Analyze \(y~=~-3(0.5)^x~+~2\) relative to \(y~=~(0.5)^x\). State the base and transformations, map parent point \((0,~1)\), and give the asymptote and range.

Neutral exponential-transformation card showing only negative three times 0.5 raised to the x power, plus two outside the power; no graph features are shown.
Compare the matching point and the new baseline.
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Four variants of this problem type
Curriculum context
Course
Math III
Standard
F-BF.3
Category
Functions
Domain
Building Functions
Objective
Analyze graph transformations across radical, rational, exponential, logarithmic, and other functions; recognize even and odd functions.
Problem type
Analyze a transformed exponential graph from a,b,h,k