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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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  1. hilltaylor13 Group Title
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    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
  2. ZeHanz Group Title
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    \(\dfrac{3}{x}-4=3 \cdot \dfrac{1}{x}-4\), 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
  3. ZeHanz Group Title
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    Once you've got that, imagine what subtracting 4 from every y-coordinate does with points on the graph.

    • one year ago
  4. hilltaylor13 Group Title
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    yeah, i have no idea.

    • one year ago
  5. ZeHanz Group Title
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    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 y-coordinate with 3. New point: (1,3). Also (2, ½) is on the graph of y=1/x. Multiply the y-coordinate with 3. New point: (2, 1½). What is happening?

    • one year ago
  6. ZeHanz Group Title
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    You could also say: every point is getting 3 times farther away from the x-axis. How would you call that? (again, look at the answers)

    • one year ago
  7. hilltaylor13 Group Title
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    a?

    • one year ago
  8. hilltaylor13 Group Title
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    i'm guessing a or c because of the vertical stretch

    • one year ago
  9. hashim12atd Group Title
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    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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