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hilltaylor13
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How do the graphs of y = 1/x and y =3/x – 4 compare? will receive medal for right answer!
 one year ago
 one year ago
hilltaylor13 Group Title
How do the graphs of y = 1/x and y =3/x – 4 compare? will receive medal for right answer!
 one year ago
 one year ago

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hilltaylor13 Group TitleBest ResponseYou've already chosen the best response.0
answer choices: Compared to the graph of y =1/x , the graph of y =3/x – 4 is a vertical stretch by a factor of 3 and a translation of 4 units left. Compared to the graph of y =1/x , the graph of y =3/x – 4 is a vertical shrink by a factor of 3 and a translation of 4 units up. Compared to the graph of y =1/x , the graph of y =3/x – 4 is a vertical stretch by a factor of 3 and a translation of 4 units down. Compared to the graph of y =1/x , the graph of y =3/x – 4 is a vertical shrink by a factor of 3 and a translation of 4 units down.
 one year ago

ZeHanz Group TitleBest ResponseYou've already chosen the best response.0
\(\dfrac{3}{x}4=3 \cdot \dfrac{1}{x}4\), so there have been two changes from 1/x. The 3 times 1/x means every outcome will be 3 times as big. Can you imagine what the effect on the graph is?
 one year ago

ZeHanz Group TitleBest ResponseYou've already chosen the best response.0
Once you've got that, imagine what subtracting 4 from every ycoordinate does with points on the graph.
 one year ago

hilltaylor13 Group TitleBest ResponseYou've already chosen the best response.0
yeah, i have no idea.
 one year ago

ZeHanz Group TitleBest ResponseYou've already chosen the best response.0
Look at the answers. It is about stretching and shrinking on the one hand, and about translation on the other. The numbers and calculations we have are: \(\cdot~ 3\) and \(4\). Now if you again think about what it means when you take the outcomes (=how high points lie on the graph) and multiply them with 3. E.g. suppose point (1, 1) is on the graph of y=1/x (it is). Multiply the ycoordinate with 3. New point: (1,3). Also (2, ½) is on the graph of y=1/x. Multiply the ycoordinate with 3. New point: (2, 1½). What is happening?
 one year ago

ZeHanz Group TitleBest ResponseYou've already chosen the best response.0
You could also say: every point is getting 3 times farther away from the xaxis. How would you call that? (again, look at the answers)
 one year ago

hilltaylor13 Group TitleBest ResponseYou've already chosen the best response.0
i'm guessing a or c because of the vertical stretch
 one year ago

hashim12atd Group TitleBest ResponseYou've already chosen the best response.0
It should go down by four units and and stretched 3 times. you should try to think what happens you multiply only one coordinate with a number. . Try to experiment on a graphing software, there you will grasp the idea how graphs are changed when coffeceints of variable s are changed.
 one year ago
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