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.