## Trigonometry (11th Edition) Clone

Published by Pearson

# Appendix D - Graphing Techniques - Exercises - Page 449: 69

#### Answer

The graph shown should have undergone a combination of the transformations of $g(x) = \sqrt{x}.$ The equation of the graph is $y = \sqrt{x-1} - 3.$

#### Work Step by Step

As there is no sign of any symmetry across neither the $x$-axis nor the $y$-axis, the graph shown should have undergone a combination of the transformations of $g(x) = \sqrt{x}$. Since horizontal translation to the right by 1 unit is found, $x$ should be replaced by '$x-1$' and vertical translation down by 3 units is shown, a value of '3' should be deducted. Hence, the equation of the graph is $y = \sqrt{x-1} - 3.$

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