Math  /  Algebra

QuestionDescribe the transformations of the parent function f(x)=xf(x)=|x|
1. g(x)=x+5g(x)=-|x|+5

Studdy Solution
Identify the vertical shift:
The function g(x)=x+5 g(x) = -|x| + 5 includes a "+5" outside the absolute value. This indicates a vertical shift upwards by 5 units. The entire graph is moved up by 5 units.
The transformations of the parent function f(x)=x f(x) = |x| to obtain g(x)=x+5 g(x) = -|x| + 5 are:
1. A vertical reflection across the x-axis.
2. A vertical shift upwards by 5 units.

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