If you vertically compress the absolute value parent function, f(x) = Ixl, by a
factor of 3, what is the equation of the new function?
OA. g(x) = 1x - 31
OB. g(x)=x
O C. g(x) = 31x1
O D. g(x) = 13x|

Respuesta :

Answer:

The equation for new function is

Step-by-step explanation:

We have been given the absolute value parent function f(x) = |x| and this function is vertically compressed by a factor 3.

If we multiply the function with a constant (say a) then the parent function will get stretch/compressed vertically.

We have below conditions for vertical stretch and compression.

a > 1 => vertically stretch

0 < a < 1 => vertically compression

Hence, in order to vertical compression by a factor 3, we have to multiply the whole function by 1/3

Therefore, the equation for new function is

Step-by-step explanation:

g(x) = 1/3 |x| !