Question

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

Answer 1

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

The types of transformation.

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

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

What is a translation?

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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