What type of transformation takes the graph of f(x)=|x| to the graph of g(x)=−3+|x|?
2 answers:
Answer:
vertical translation of 3 units down
Step-by-step explanation:
we have
The vertex of the graph of f(x) is the point (0,0)
The vertex of the graph of g(x) is the point (0,-3)
see the attached figure to better understand the problem
so
The transformation of f(x) to g(x) is
f(x) -----> g(x)
(0,0) -----> (0,-3)
(x,y) -----> (x,y-3)
That means -----> The translation is 3 units down
therefore
vertical translation of 3 units down
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Step-by-step explanation:
1) the required equation in common form is:
(x-x₀)²+(y-y₀)²=r², where (x₀;y₀) - coordinates, where Michael is standing; r - the social distance;
According to the common form and given coordinates (x₀=-5; y₀=2; r=6) it is possible to make up the required equation:
<u>(x+5)²+(y-2)²=6².</u>
2) if the distance between two friends is:
this distance is longer than social (6 ft). For more info see the attachment.
