Question

suppose that G(x)=F(x-5). Which statement best compares the graph of G(x) with the graph of F(x)
a. The Graph Of G(x) is the graph of F(x) shifted 5 united to the left.
b. The graph of G(x) is the graph of F(x) shifted 5 units down
c. The graph of G(x) is the graph of F(x) shifted 5 units up
d. the graph of G(x) is the graph of F(x) shifted 5 units to the rights

Answer 1

In this question, it is given that

$g(x) =f(x-5)$

Because of -5 inside the function, the graph shifts to 5 units right . If it was,

$g(x) = f(x)-5$

then, the graph shifts to 5 units down .

So out of the given four options, correct option is the last option that is option d .

Answer 2

Answer: D. the graph of G(x) is the graph of F(x) shifted 5 units to the rights