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

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  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)

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

54 kilometers per hour

step-by-step explanation:

according to rules:

1 km = 1000 meter

which means that 1 meter = 1/1000 km

1 hour = 3600 second [ as 1 hour = 60 min = 60 *60 seconds ]

which means that 1 second = 1/3600 hour

therefore, 1 kilometer/hour =

thus to convert 15 meter per second to kilometer per hour, we multiply 15 to 3.6 kilometer/hour.

15 meter/second=   which is the required answer.