Question

If f(x)=|x|, graph the function f(x)+2 and - f(x)

Answer 1

f(x)

Answer 2

f(x)+2

Answer 3

- f(x)

Answer 4

how would f(x-2) look? I don't get the difference between it being written as f(x)-2 or f(x-2)

Answer 5

f(x)-2 = |x|-2
when x= 0, you get \(|0| - 2 = -2\)

\[f(x-2)=\left| x-2 \right|\]
when x= 0, you get \(|0 - 2| = |-2| = 2\)

Answer 6

f(x)-2

Answer 7

f(x-2)

Answer 8

thank you so much, I understand it much better! One more question if you don't mind. Given any function y=f(x), what would be the transformation of f(1/3x) and 1/3f(x) ? This one is not graphing, just describing what it would look like and I'm not good with fractions

Answer 9

@PaxPolaris when your done do you mind helping me

Answer 10

i will tag you

Answer 11

well if you know what y=1/3x looks like...

Answer 12

taking the absolute value of that, would be getting rid of the negative sign in the negative values: