Answer:
The function g(x) is + 4 and this is Translation Transformation .
Step-by-step explanation:
Given as :
The two functions f(x) and g(x) is as given
Function f(x) =
And g(x) = f(3 x) + 4
Now, for x = 3 x
The function f(x) can be written as
f(3 x) =
So, g(x) = + 4
<u>While plotting the function f(x) and g(x) on the graph , the points translate from one to other quadrant , so this is a type of TRANSLATION TRANSFORMATION . </u>
Hence The function g(x) is + 4 and this is Translation Transformation . Answer
Answer:
(the relation you wrote is not correct, there may be something missing, so I will simplify the initial expression)
Here we have the equation:
We can rewrite this as:
Now we can add and subtract cos^2(x)*sin^2(x) to get:
We can complete squares to get:
and we know that:
cos^2(x) + sin^2(x) = 1
then:
This is the closest expression to what you wrote.
We also know that:
sin(x)*cos(x) = (1/2)*sin(2*x)
If we replace that, we get:
Then the simplification is: