Complete Question:
The graph of the linear function g(x) = 2x - 2 is shown. The graph of f(x) = ()x is the graph of g(x) = 2x - 2reflected over the y-axis.
Which graph represents g(x)?
Answer:
[tex]f(x) = -2x - 2[/tex]
Step-by-step explanation:
Given
[tex]g(x) = 2x - 2[/tex]
Required
Determine f(x)
When a graph g(x) is reflected over the y axis, the resulting function is:
[tex]f(x) = g(-x)[/tex]
Solving for g(-x)
[tex]g(x) = 2x - 2[/tex]
[tex]g(-x) = 2(-x) - 2[/tex]
[tex]g(-x) = -2x - 2[/tex]
Recall that [tex]f(x) = g(-x)[/tex]
[tex]f(x) = -2x - 2[/tex]
