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Use function notation to write G in terms of the parent function F.? F(x)=x^3 and g(x)=-(x+1)^3
Use function notation to write G in terms of the parent function F.? F(x)=x^3 and g(x)=-(x+1)^3
G in terms of theparent functionF is given as F(x) = -g(x-1).What is a parent function?Aparent functionis the simplest function of the family of functions that preserves the definition of entire family.Now the givenfunctionsare,F(x) = x^3g(x) = -(x+1)^3We can see that g(x) is just an opposite oftranslationof 1 units to the right of F(x), to write g(x) in terms of F(x)Then we can write,g(x-1) = -(x-1+1)^3or, g(x-1) = -x^3or, g(x-1) = -F(x)or, F(x) = -g(x-1)Hence,G in terms of theparent functionF is given as F(x) = -g(x-1).To learn more abouttranslations:brainly.com/question/24850937#SPJ2...
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