Question

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

Answer 1

The answer is translation 2 units down(B)

Answer 2

B)translation 2 units down

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.