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lidiya [134]
3 years ago
9

Q # 1 Graph the functionY = |X + 2| - 3

Mathematics
2 answers:
Novay_Z [31]3 years ago
8 0
Do you have anymore pictures?
Svetllana [295]3 years ago
4 0
First of all we know the Absolute Value Function that is:

\left | x \right |= \left \{ {{x \ \ \ \ x \geq 0} \atop {-x \ \ \ \ x\ \textless \ 0}} \right.

This is called the Parent Function <em>of the Absolute Value Function.</em>

From the equation:

y=\left | x+2 \right |-3

The term:

\left | x+2 \right |

means that the the Parent Function is <em>shifted</em> two units <em>to the left</em>.

On the other hand, the term:

-3

means that the function \left | x+2 \right | is <em>shifted</em> three units <em>downward. </em>So the result is the graph shown below

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