What transformation takes the graph of f(x)=3x+8 to the graph of g(x)=3x+6 ? (a)translation 2 units left (b)translation 2 units down (c)translation 2 units up (d)translation 2 units right

The answer is translation 2 units down(B)

B)translation 2 units down

Step-by-step explanation:

There are several types of transformations

i) reflection ii) shifting horizontally iii) shifting vertically.

Here the graph y =f(x) = 3x+8 is transformed into Y =g(x) = 3x+6

Rewrite as y-8 = 3x and Y-6 =3x

We find comparing the two equations that there is no change in x.  But y changed to Y

y-8=Y-6 or Y = y-2

Hence there is no horozontal transformation but vertically new Y = old y-2

i.e. the translation is 2 units vertically down.

Option B is right.

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step-by-step explanation: