Question

5. Vertical stretch by 3 then Translate 4 units up.-
Equation

Answer 1

If you consider stretch as getting taller(essentially) then the equation is

3x+4=y
Or
3x+4=f(x)

Answer 2

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