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Marta_Voda [28]
2 years ago
9

HELP !!!!! ASAP 4 ENDGENUITY Let the graph of g be a translation 5 units to the right followed by a translation 7 units down of

the graph of f(x) = ∣x∣. Write g(x).
Mathematics
1 answer:
Kruka [31]2 years ago
6 0

A translation of h units upwards and q units to the right is represented by the transformation

(x,y)\rightarrow(x-q,y-h)

So, to translate 5 right and 7 down, we need

(x,y)\rightarrow(x-5,y+7)

Now we just need to plug x=x-5 and y=y+7 in our equation (remember f(x)=y):

y+7=|x-5|\\y=|x-5| - 7

The answer is

\boxed{g(x) = |x-5|-7}

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