Write each transformed function and then add the equations together. The function f(x) =log8(x-3) is compressed vertically by a factor of 2/5 and translated up 11 units.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 2AGP
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Directions: Write each transformed function and then add the equations together.

The function f(x) =log8(x-3) is compressed vertically by a factor of 2/5 and translated up 11 units.

The function f(x) =-log9 (x+4) is translated 4 units right and 1 unit down and vertically stretched by a factor of 7.

The function f(x) =3 ln (2x +8) is vertically stretched by a factor of 3, translated 7 units up, and reflected across the x-axis.

The function f(x) =-log (5 -x) -2 is translated 6 units left, vertically compressed by a factor of 1/3, and reflected across the x-axis.

The function f(x) =8log7 x-5 is compressed vertically by a factor of 0.5, translated right 1 unit, and reflected across the x-axis.

 

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