# Chapter 1 - Functions and Limits - 1.3 New Functions from Old Functions - 1.3 Exercises - Page 42: 3

a) 3 b) 1 c) 4 d) 5 e) 2

#### Work Step by Step

a) 3 because 3 is $f(x)$ shifted 4 units to the right. b) 1 because 1 is $f(x)$ shifted 3 units upwards c) 4 because 4 is $f(x)$ vertically shrunk by $\frac{1}{3}$ d) 5 because 5 is $f(x)$ shifted to the left by 4 units and then reflected over the x-axis. e) 2 because 2 is $f(x)$ shifted 6 units to the left and then vertically stretched by 2.

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