How does the graph of g(x) = x + 4 compare with the graph of the parent function, f(x) = x?

A. The graph of g(x) is compressed vertically by a factor of 4.

B. The graph of g(x) is shifted 4 units up.

C. The graph of g(x) is shifted 4 units to the right.

D. The graph of g(x) is compressed horizontally by a factor of 4.

Respuesta :

The answer is B. the graph of g (x) is shifted 4 units up.

When we compare the graph of g(x) = x+4 with parent function f(x) = x, we see that there is a vertical shift of 4 units. This implies option B. The graph of g(x) is shifted 4 units up is correct.

What is a vertical shift?

Given a function  f(x) , a new function  g(x)=f(x)+k , where  k  is a constant, is a vertical shift of the function  f(x) . All the output values change by k units.

Learn more about vertical shift here

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