153k views
4 votes
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

2 Answers

1 vote

The answer is translation 2 units down(B)

User Stefano Mozart
by
7.9k points
0 votes

Answer:

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.

User Sjs
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories