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Complete each statement describing the transformations you observed for the graph of y = 2x + k.


When the value of k increases, the graph of the function:

When the value of k decreases, the graph of the function:

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Sagot :

Using translation concepts, it is found that:

  • When the value of k increases, the graph of the function shifts up.
  • When the value of k decreases, the graph of the function shifts down.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

The translation y -> y + k represents:

  • A shift up if k > 0.
  • A shift down if k < 0.

Hence:

  • When the value of k increases, the graph of the function shifts up.
  • When the value of k decreases, the graph of the function shifts down.

More can be learned about translation concepts at https://brainly.com/question/4521517

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