The intercepts of a graph are the points the graph crosses the x-axis
The x-intercepts of [tex]\mathbf{g(x) = f(x - 3)}[/tex] are (-5,0) and (0,0)
For y = f(x), we have
[tex]\mathbf{(x,y) = (-2,0)\ (3,0)}[/tex]
For g(x) = f(x - 3), we have:
[tex]\mathbf{(x-3,y) = (-2-3,0)\ (3-3,0)}[/tex]
[tex]\mathbf{(x-3,y) = (-5,0)\ (0,0)}[/tex]
Recall that:
[tex]\mathbf{g(x) = f(x - 3)}[/tex]
Hence, the x-intercepts of [tex]\mathbf{g(x) = f(x - 3)}[/tex] are (-5,0) and (0,0)
Read more about intercepts at:
https://brainly.com/question/3334417?
