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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 from f(x) . g(x) is translated 7 units left from f(x) . g(x) is translated 7 units up from f(x) . g(x) is translated 7 units right from f(x) .

Respuesta :

dannielle
If x=2, f(2)=5*2=10 and g(2)=5*2-7=10-7=3

⇒ the graph of g(x) is translated 7 units down from f(x)

Given : f(x)= 5x and g(x) = 5x-7.

According to rules of transformation:

According to rules of transformation f(x)+c shift c units up and f(x)-c shift c units down.

For the given g 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 value of c is 7.

Therefore, correct statement would be :

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

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