Question

Compare the graph of g(x)=6x−5 to the graph of f(x)=6x

a. g(x) shifted up 5 units
b. g(x) shifted down 5 units
c. g(x) is 6 units steeper
d. f(x) shifted down 5 units

Answer 1

The answer is b: g(x) shifted down five units

Answer 2

The answer is B choice.

Step-by-step explanation:

Compare two graphs, the transformation of the graph is g(x) while f(x) is an original.

`f(x) = 6x \\ g(x) = 6x -5`

For a linear function or line graph.

`y = mx + b`

This means that the function y has the graph that shifts up b units.

`y = mx - b`

While on the other hands, if the function y has -b as y-intercept. We can say that the function has the graph that shifts down b units.

Rather say that. If the constant term is positive, it shifts up and if the constant term is negative, it shifts down.

Back to the answer.

Comparing two graphs, from f(x) and g(x) —

We can say that function g shifts down 5 units from f(x) ^ Read the topic above before this ^

Thus, the answer is B.