Question

Let f(x)=(3/4)x . Let g(x)=(3/4)x−6 . Which statement describes the graph of g(x) with respect to the graph of f(x) ?

Answer 1

Parallel

Explanation:

`f(x)=(3)/(4)x\\ g(x)=(3)/(4)x-6\\`

The graph equation of g(x) could be represented as a function of f(x)

`g(x)=f(x)-6`

As we can observe

f(x) and g(x) have the same slope=
`(3)/(4)`

The difference is that g(x) is 6 units down of f(x) measured on y-axis

as slopes are equal

both graphs are parallel

refer to the image