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juliah6925
03.09.2019 •
Mathematics
Complete a piecewise function that describes the graph.
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Ответ:
Step-by-step explanation:
Left part of the graph is the graph of the parabola passing through the points (-2,3), (-3,2) and (-4,-1). If the equation of the parabola is
then
Subtract first two equations and last two equations:
Suybtract these two equations:
So![-1=5\cdot (-1)-b\Rightarrow b=-5+1=-4](/tpl/images/0221/6492/e838b.png)
Substitute into the first equation:
The equation of the parabola is![y=-x^2-4x-1](/tpl/images/0221/6492/cbc28.png)
The right part of the graph is translated 1 unit to the right and 1 unit down graph of the function
, so it has the equation ![y=\dfrac{1}{2}|x-1|-1](/tpl/images/0221/6492/9b5c9.png)
Hence, the piece-wise function is
Ответ:
ok boomer
Step-by-step explanation: