Worksheet titled "Exponential Transformations Worksheet" featuring problems on describing transformations of exponential functions, creating graphs, writing equations from transformations, and sketching exponential functions.

Exponential Transformations Worksheet with questions on function transformations, graphing, and equations.

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Show Answer Key & Explanations Step-by-step solution for: TRANSFORMATIONS OF EXPONENTIAL FUNCTIONS - Hughes, Patricia ...

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1) a) Vertical shift down by 2 units.
b) Horizontal shift left by 3 units.
c) Horizontal compression by factor of 2 (since 4^x = (2^2)^x = 2^(2x)).
d) Horizontal shift right by 1 unit, vertical stretch by factor of 3, then vertical shift up by 1 unit.

3) a) y = 5^x - 3
b) y = 5^(x-2)
c) y = 5^(x + 1/2)
d) y = 5^(x + 2.5) + 1

4) a) y = - (1/3)^x
b) y = 3 * (1/3)^x
c) y = (1/3)^(x/2.4)
d) y = 4 * (1/3)^(-x)

5) a) Shift key point (0,1) to (3,3); horizontal asymptote y=2.
b) Reflect over x-axis; key point (0,1) becomes (0,-1); horizontal asymptote y=0.
c) Vertical compression by 1/2 and shift down 3; key point (0,1) becomes (0,-2.5); horizontal asymptote y=-3.
d) Horizontal compression by 1/2 and reflect over y-axis; key point (0,1) stays (0,1); horizontal asymptote y=0.

Parent Tip: Review the logic above to help your child master the concept of transformations of exponential functions worksheet.

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