THIS IS THE COMPLETE QUESTION BELOW;
Which set of steps will translate f(x) = 6x to g(x) = 6x – 5 – 7?
Shift f(x) = 6x five units to the left and seven units up.
Shift f(x) = 6x five units to the right and seven units down.
Shift f(x) = 6x seven units to the right and five units up.
Shift f(x) = 6x seven units to the left and five units down.
Answer:
Shift f(x)=6x five units to the left and seven units down.
Explanation:
We are told to translate the function below
f(x) = 6x to g(x) = 6x – 5 – 7
Which means the process to translate f(x) into g(x) is required.
According to the translation rule
f(x)-------->f(x)+a
If a<0 it shift to downward
If a>0 it shift to upward
Then we have
(X,y) ----->((x - 5, y)
There is a shift by x coordinates towards left by 5 units
then we would have the function as
f'(x) = 6(x-5)
Following the translation rule there is a shift by the function by 7 units downward direction then we have
(x,y) ----->(x,y -7)
Then we have g(x) = 6x – 5 – 7 as our translation product.
Therefore, shift f(x)=6x five units to the left and seven units down.