Describe the transformations applied to #y=x²# to obtain the graph of #y=-(x+3)²-2#?

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21-05-2018
Mathematics

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Describe the transformations applied to #y=x²# to obtain the graph of #y=-(x+3)²-2#?

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tаskmasters tаskmasters · Answer 1 · 2018-05-21T11:25:13+02:00

tаskmasters tаskmasters

21-05-2018

The graph of y=-(x+3)²-2 is the graph of y=x² transformed in the following way:
- first reflected about the x-axis
- translated 3 units left
- translated 2 units down.
The last two steps can come in any order.

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