breezybrii02 breezybrii02
  • 01-10-2020
  • Mathematics
contestada

Which of the following absolute value functions defines the function shown in the graph?

Which of the following absolute value functions defines the function shown in the graph class=

Respuesta :

eudora eudora
  • 07-10-2020

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.

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