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Let f(x)=5x.Let g(x)=5x−7.Which statement describes the graph of g(x)with respect to the graph of f(x)? g(x)is translated 7 units down fromf(x).g(x)is translated 7 units left fromf(x).g(x)is translated 7 units right from f(x).g(x)is translated 7 units up fromf(x).

Respuesta :

Given

[tex]\begin{gathered} f(x)=5x \\ g(x)=5x-7 \end{gathered}[/tex]

According to rules of transformation:

f(x)+c shift c units up and f(x)-c shift c units down.

For the given function g(x) = 5x-7, 7 is being subtracted from 5x.

Where 5x is represented by f function.

Therefore, we could apply the rules of transformation f(x)-c shift c units down.

Here the value of c is 7.

Answer: g(x) is translated 7 units down from f(x)

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