Graph each function. Compare to the parent graph. State the domain and range.
$y = \sqrt{x} + 5$

Question

Graph each function. Compare to the parent graph. State the domain and range.
$y = \sqrt{x} + 5$

Accepted Answer

The graph of the given function $y = \sqrt{x} + 5$ is:

The parent graph is graph of $y = \sqrt{x}$ . The graph of the function $y = \sqrt{x} + 5$ is obtained by shifting the graph of the function $y = \sqrt{x}$ vertically up by 5 units.

The domain of the given function $y = \sqrt{x} + 5$ is $x \in [0, \infty)$ .

The range of the given function $y = \sqrt{x} + 5$ is $y \in [5, \infty)$ .

x	$y = \sqrt{x} + 5$
0	$y = \sqrt{0} + 5 = 5$
1	$y = \sqrt{1} + 5 = 6$
4	$y = \sqrt{4} + 5 = 7$
9	$y = \sqrt{9} + 5 = 8$

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Algebra 1

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Short Answer

Graph each function. Compare to the parent graph. State the domain and range.
$y = \sqrt{x} + 5$

Step by Step Solution

Step 1. Graph the given function y=x+5.

Step 2. Compare the graph of the function y=x+5 with the parent graph.

Step 3. State the domain and range of the function y=x+5.

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Algebra 1

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Short Answer

Graph each function. Compare to the parent graph. State the domain and range.y=x+5

Step by Step Solution

Step 1. Graph the given function y=x+5.

Step 2. Compare the graph of the function y=x+5 with the parent graph.

Step 3. State the domain and range of the function y=x+5.

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Graph each function. Compare to the parent graph. State the domain and range.
$y = \sqrt{x} + 5$