Question

Suppose that g(x) = f(x-2) + 7. Which statement best compares the graph of

Answer 1

Answer:

Option A) is correct.

Step-by-step explanation:

The given equation is as,$g(x) = f(x-2) + 7$.

Lets focus on graph f(x-2).

Take any example, like $y = x$. It passes through origin.

Now replace x by (x-2). Now $y = x-2$, it passes through x=2, thus shifted to right by 2 units.

Now consider the function g(x). If the constant 7 was not there, value would be f(x-2). But adding a positive constant (+ 7) moves the graph up by 7 units.

Thus overall, The graph of g(x) is the graph of f(x) shifted 2 units to the right  and 7 units up.