Study Guide and Review
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Let's first graph the given square root function and find its domain and range. Then, we will compare the graph to the graph of its parent function.
x | x−3 | y=x−3 |
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0 | 0−3 | -3 |
1 | 1−3 | -2 |
4 | 4−3 | -1 |
9 | 9−3 | 0 |
Let's plot and connect the obtained points. Remember, the domain is all real numbers greater than or equal to 0, so we do not want to extend the function any farther to the left.
To compare the graph of our function with the graph of the parent function f(x)=x, we will consider some possible transformations.
Transformations of f(x) | |
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Vertical Translations | Translation up k units, k>0y=f(x)+k
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Translation down k units, k>0y=f(x)−k
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