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Marysya12 [62]
1 year ago
6

Explain how the function y=-1/3|x+2|+5 is transformed from the original function of y=-1/3|x|.

Mathematics
1 answer:
Illusion [34]1 year ago
4 0

The original function of y = -1/3|x| was translated 2 units to the right and 5 units up.

<h3>The types of transformation.</h3>

In Mathematics, there are four (4) main types of transformation and these include the following:

  1. Dilation
  2. Rotation
  3. Reflection
  4. Translation

<h3>What is a translation?</h3>

In Mathematics, the translation of a geometric figure (shape) to the right simply means adding a digit to the numerical value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure (shape) that is translated up simply means adding a digit to the numerical value on the y-coordinate (y-axis) of the pre-image.

In this scenario, the original function was shifted 2 units to the right and then shifted 5 units up to produce the new function as follows:

Original function (x, y)    →     New function (x + 2, y + 5)

y = -1/3|x|                         →        y = -1/3|x + 2| + 5

Read more on translation here: brainly.com/question/20720324

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