If we have a function f(x) and we apply a vertical stretch by a scale factor 3 and then translate it 4 units up, we will get:
g(x) = 3*f(x) + 4.
How to write the given transformation?
First, let's define each transformation.
Vertical stretch.
For a function f(x) a vertical stretch of scale factor k is rwitten as:
g(x) = k*f(x)
Vertical translation.
For a function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N.
- If N is positive, the translation is upwards.
- If N is negative, the translation is downwards.
Then if we have a function f(x) and we apply a vertical stretch by a scale factor 3 and then translate it 4 units up, we will get:
g(x) = 3*f(x) + 4.
If you want to learn more about transformations, you can read:
https://brainly.com/question/4289712
