Question

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

Answer 1

Please see attached image

Explanation:

We start by finding the actual algebraic expression for g(x):

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

Then we plot this function on the x-y plane using two or three pairs solution to the equation, like:

for x = 0 g(x) = 2

for x = 1 g(x) = 6

for x = -1 g(x) = -2

and joining them with a line.