State the various transformations applied to the base function f(x)=|x| to obtain a graph of the function g(x) = |x| − 2.

Horizontal shift of 1 unit to the right and a vertical shift upward of 2 units.

Horizontal shift of 1 unit to the right and a vertical shift downward of 2 units.

Horizontal shift of 1 unit to the left and a vertical shift downward of 2 units.

Horizontal shift of 1 unit to the left and a vertical shift upward of 2 units.

Question

07-06-2022
Mathematics

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State the various transformations applied to the base function f(x)=|x| to obtain a graph of the function g(x) = |x| − 2.

Horizontal shift of 1 unit to the right and a vertical shift upward of 2 units.

Horizontal shift of 1 unit to the right and a vertical shift downward of 2 units.

Horizontal shift of 1 unit to the left and a vertical shift downward of 2 units.

Horizontal shift of 1 unit to the left and a vertical shift upward of 2 units.

Sagot :

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abidemiokin abidemiokin · Answer 1 · 2022-06-09T05:07:44-04:00

Horizontal shift of 1 unit to the left and a vertical shift downward of 2 units.

Transformation of function

Transformation technique is a way of changing the position of an object on an xy-plane.

Given the parent function of a modulus function f(x) = |x|, the graph of the function g(x) = |x| - 2 shows a vertical translation of the parent function down by 2 units.

The resulting graph of the translated function is as shown below

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Transformation of function

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