McGraw Hill Glencoe Algebra 1, 2012
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McGraw Hill Glencoe Algebra 1, 2012 View details
Study Guide and Review
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Exercise 11 Page 664

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.

Graph, Domain, and Range

Let's start by finding the domain of To do so, recall that the radicand of a square root is always greater than or equal to
Therefore, the domain of the given function is all real numbers greater than or equal to With this in mind, we will make a table of values to graph the function.

Let's plot and connect the obtained points. Remember, the domain is all real numbers greater than or equal to so we do not want to extend the function any farther to the left.

We can see that the function takes values of that are greater than or equal to This tells us the range.

Comparison With the Parent Function

To compare the graph of our function with the graph of the parent function we will consider some possible transformations.

Transformations of
Vertical Translations
Let's now identify the transformations in our function.
The graph of the given function is a translation units down of the graph of