Respuesta :

Answer:

Option (3)

Step-by-step explanation:

Parent absolute function in the graph attached is,

g(x) = |x|

If the parent function is vertically stretched by a scale factor of k,

h(x) = k[f(x)]

In the graph attached, function 'h' will be,

h(x) = 4|x|

If a function 'h' is translated by 9 units right on the x-axis,

f(x) = h(x - 9)

Therefore, for the function given in the graph,

f(x) = 4|x - 9|

     = |4x - 36|

     = |-(-4x + 36)|

     = |36 - 4x|

Option (3) will be the correct option.