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9a please i just need help understanding how to do it

9a please i just need help understanding how to do it-example-1
User Mcskinner
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1 Answer

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Given:

Points on the given function are (0,2), (1,0), and (2,2).

Required:

We need to find the piecewise function.

Step-by-step explanation:

Consider the piecewise function.


y=|x|

The graph of the function is

The point lie on the function is (-2.2), (0,0) and (2,2).

The point (0,0) from the graph y=|x| is moved right one unit.

Reduce the values of x by 2 units since graph y=|x| is moved right one unit.

The difference between (-2,2) and (2,2) is (2-(-2))=4 units in graph y=|x|.


y=|x-2|

The difference between (0,2) and (2,2) is (2-0)=2 units in the given graph.

The given graph is shortened by 2 units.

Multiply the x coordinates by 2.


y=|2x-2|

Final answer:


y=|2x-2|

9a please i just need help understanding how to do it-example-1
9a please i just need help understanding how to do it-example-2
User Michael Grigsby
by
8.4k points

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