Can you answer the question from this graph?
ok, I know this is a basic, but I have completely forgot
If f(x)= x^2 - 1, describe in words what the following would do to the graph of f(x):
abs(f(x))
and also, they've drawn a graph with cordinates and they tell you to transform it so that y=f(abs(x))
please please please help!
wait, ok, so it shifts everything up so its positive
but whats the difference in the absolute value of the entire f(x) verses f(abs(x))?
so if you had a figure with cordinates like (-4, 0) (0,2) (1,0) (2,-2) (3,0)
and you wanted to make it f(abs(x)) and also abs(f(x)) how would you do that? would you make that dropped down V positive and disconnect the lines and points?
wait, ok, I get the f(abs(x)) (make the negative reflect off of axis)
but the abs(f(x)), how is that different?
could you possible just give me the answer, I'm one of those people that goes backwards and teaches myself, that's the way I run, weird I know, but I just need the difference between the two and then I'll try and figure it
but the figure I need is more like a star connection, ya know? its not the swoopy line, I get those, but its lines connected by dots
Now that you have done some work (thought) on your own, I can help you more.
Once we have a graph of then because then the whole graph of just looks like the right-hand (the positive side of the y-axis, the first and fourth quadrants).
Example: for every x it is true that .
So just copy the right-hand of the graph to the left-hand letting the y-axis act as a mirror.