youngraina72
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The graphs of g(x) is a translation of the function f(x)=x^2 . The vet text of g(x) is located 5 units above and 7 units to the right of the vertex of f(x). Which equation represents g(x)

Respuesta :

apologiabiology
easy, that means it was moved 5 units up and 7 units to the right

to move a function up by c units, add c to the whole function
f(x) moved up by c units is f(x)+c
to move a function to the right by r units, minus r from every x
f(x) moved to the right by r units is f(x-r)

so moved 5 up and 7 right is f(x-7)+5 or [tex](x-7)^2+5[/tex]

therefor [tex] g(x)=(x-7)^2+5[/tex]

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