Graph each function. Compare to the parent graph. State the domain and range.
$y = 2 \sqrt{x - 2}$

Question

Graph each function. Compare to the parent graph. State the domain and range.
$y = 2 \sqrt{x - 2}$

Accepted Answer

The graph of the given function $y = 2 \sqrt{x - 2}$ is:

The parent graph is graph of $y = \sqrt{x}$ . The graph of the function $y = 2 \sqrt{x - 2}$ is obtained by shifting the graph of the function $y = \sqrt{x}$ horizontally right by 2 units and stretching the graph vertically by 2 units.

The domain of the given function $y = 2 \sqrt{x - 2}$ is $x \in [2, \infty)$ .

The range of the given function $y = 2 \sqrt{x - 2}$ is $y \in [0, \infty)$ .

$x$	$y = 2 \sqrt{x - 2}$
2	$y = 2 \sqrt{2 - 2} = 0$
3	$y = 2 \sqrt{3 - 2} = 2$
6	$y = 2 \sqrt{6 - 2} = 4$
11	$y = 2 \sqrt{11 - 2} = 6$

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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.
$y = 2 \sqrt{x - 2}$

Step by Step Solution

Step 1. Graph the given function y=2x−2.

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

Step 3. State the domain and range of the function y=2x−2.

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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=2x−2

Step by Step Solution

Step 1. Graph the given function y=2x−2.

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

Step 3. State the domain and range of the function y=2x−2.

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Graph each function. Compare to the parent graph. State the domain and range.
$y = 2 \sqrt{x - 2}$