Question

A student graphs f(x)= 3x - 2 On the same grid, the student graphs the function g which is a transformation off made by subtracting 4 from the input off. Describe and correct the error the student made when graphing 9 fr) = 3x-2 5 X Х Which of the following is the function that the student graphed? Choose the correct answer below

O A. The transformation of f obtained by subtracting 4 from the output off

B. The transformation of f obtained by multiplying the input of g by f

O C. The transformation off obtained by adding 4 to the output off

OD. The transformation of f obtained by multiplying the output of g by f.

O E The transformation of f obtained by adding 4 to the input of f ​

Answer 1

9514 1404 393

Answer:

  E.  The transformation of f obtained by adding 4 to the input of f ​

Step-by-step explanation:

The expected graph was ...

  g(x) = f(x -4) . . . . . subtracting 4 from the input.

This transformation has the effect of shifting the graph 4 units to the right.

__

The student's graph is of f(x) shifted 4 units to the left, equivalent to a right shift of -4, hence a graph of ...

  g(x) = f(x -(-4))

  g(x) = f(x +4) . . . . . . adding 4 to the input   (choice E)