207k views
3 votes
From f(x)=lxl to g(x)= −lx-4l+3 have___________ ?

a.Vertical​ stretch/shrink
b.Horizontal​ stretch/shrink

User Bruce Lowe
by
7.6k points

1 Answer

2 votes

Final answer:

The transformation from f(x) to g(x) involves a horizontal shift, reflection, and vertical shift with no stretching or shrinking in either the vertical or horizontal directions.

Step-by-step explanation:

From f(x)=|x| to g(x)=−|x-4|+3 there is a horizontal shift to the right by 4 units and a reflection over the x-axis, combined with a vertical shift upwards by 3 units. No vertical stretch/shrink or horizontal stretch/shrink is present because the absolute value function maintains the same slope (1 or -1) after these transformations. The pre-image and image functions have the same rate of change; only the position on the graph has been altered.

User Sam Gomena
by
8.0k points