Question

Graph g(x), where f(x) = 4x − 2 and g(x) = f(x + 1).

Answer 1

C: (-0.5,0), (0,2)

Explanation:

Answer 2

The graph in the attached figure

Explanation:

we have

`f(x)=4x-2`

`g(x)=f(x+1)`

so

Find the function f(x+1)

substitute the variable x for the variable (x+1) in the function

`f(x+1)=4(x+1)-2`

`f(x+1)=4x+4-2`

`f(x+1)=4x+2`

so

`g(x)=4x+2`

Find the y-intercept

The y-intercept of g(x) is the point (0,2) (value of y when the value of x is equal to zero)

Find the x-intercept

The x-intercept of g(x) is the point (-0.5,0) (value of x when the value of y is equal to zero)

therefore

The graph in the attached figure