Question

What's the difference between the graphs of y=absf(x) and y=f(absx)?

Answer 1

In the first one, the y value is always positive. In the second one, the substituted value is always positive.

Answer 2

Do you know the difference visually, on a graph?

Answer 3

yes

Answer 4

Sorry. I had to watch the Americans win the gold medal in ice dance.

Answer 5

Yay America! and so the first reflects over the y-axis, and the second reflects over the x-axis?

Answer 6

You have them backwards. If y = |f(x)|, there will be no negative y values on the graph.

Answer 7

http://www.wolframalpha.com/input/?i=y%3D |x-3|

Answer 8

Okay.... my textbook says if y=absf(x), then
f(x) is greater than 0, no change
f(x) is less than 0, reflect over the x-axis. is that the same thing?

Answer 9

yes

Answer 10

Thank you so much. we had a take home test and the teacher never went over y=f(absx), onnly y=absf(x).