But what happens when we bend a flexible mirror? Like a carnival funhouse mirror, it presents us with a distorted image of ourselves, stretched or compressed horizontally or vertically. When we tilt the mirror, the images we see may shift horizontally or vertically. We all know that a flat mirror enables us to see an accurate image of ourselves and whatever is behind us. Textbook content produced by OpenStax is licensed under a Creative Commons Attribution License. Use the information below to generate a citation. Then you must include on every digital page view the following attribution: If you are redistributing all or part of this book in a digital format, Then you must include on every physical page the following attribution: If you are redistributing all or part of this book in a print format, Want to cite, share, or modify this book? This book uses the Both horizontal shifts are shown in Figure 6. For example, if we begin by graphing the parent function f ( x ) = 2 x, f ( x ) = 2 x, we can then graph two horizontal shifts alongside it, using c = 3 : c = 3 : the shift left, g ( x ) = 2 x + 3, g ( x ) = 2 x + 3, and the shift right, h ( x ) = 2 x − 3. The next transformation occurs when we add a constant c c to the input of the parent function f ( x ) = b x, f ( x ) = b x, giving us a horizontal shift c c units in the opposite direction of the sign.
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