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

Answer:

Parallel

Step-by-step explanation:

$f(x)=\frac{3}{4}x\\ g(x)=\frac{3}{4}x-6$

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=$\frac{3}{4}$

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