# Chapter 2, Functions - Section 2.6 - Transformations of Functions - 2.6 Exercises: 22

(a) reflect $f(x)$ about $x$-axis and shift up 1 unit (a) reflect $f(x)$ about $y$-axis and shift up 1 unit

#### Work Step by Step

(a) We can obtain $g(x)=-\sqrt{x}+1$ by reflecting the graph of $f(x)=\sqrt{x}$ about the $x$-axis and shifting the graph up 1 unit. (b) We can obtain $g(x)=\sqrt{-x}+1$ by reflecting the graph of $f(x)=\sqrt{x}$ about the $y$-axis and shifting the graph up 1 unit.

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