Which functions are symmetric with respect to the y-axis? Check all that apply.

f (x) = |x|

f (x) = [x + 3

f (x) = [X + 31

f (x) = [x] + 6

f (x) = |x - 61

f (x) = 5x + 31 - 6

Question

Lindsey Decker

Mathematics

6 February, 03:53

Which functions are symmetric with respect to the y-axis? Check all that apply.

f (x) = |x|

f (x) = [x + 3

f (x) = [X + 31

f (x) = [x] + 6

f (x) = |x - 61

f (x) = 5x + 31 - 6

+5

Answers (1)

Know the Answer?

Sandra Keith · Answer 1

f (x) = |x|, f (x) = [x] + 6

Step-by-step explanation:

Almost all of these are absolute values equations, which means the y doesn't change if x is positive or negative. The first one is the parent form, which is the simplest equation of the absolute equation, so it's symmetric with respect to the y-axis. The second equation is translated 3 units to the left, and the third is translated 31 to the left. The forth is translated 6 up, so it's still symmetric with respect to the y-axis. The fifth is translated 61 units left, and the last one is simply a line, which isn't symmetric.

Which functions are symmetric with respect to the y-axis? Check all that apply.f (x) = |x|f (x) = [x + 3f (x) = [X + 31f (x) = [x] + 6f (x) = |x - 61f (x) = 5x + 31 - 6

Which functions are symmetric with respect to the y-axis? Check all that apply.

f (x) = |x|

f (x) = [x + 3

f (x) = [X + 31

f (x) = [x] + 6

f (x) = |x - 61

f (x) = 5x + 31 - 6