Question

Translate 2 units up
Vertical stretch by a factor of 4
Translate 5 units right

Answer 1

If the function is y = f(x)

y =f(x) + 2 ---------------(1)

y =
`4 * (f(x) + 2)` --------------(2)

y=
`4 * (f(x -4) +2)` ---------------(3)

Explanation:

Let, the function be,

y = f(x)

If we translate it 2 units up,

it will be,

y =f(x) + 2 ---------------(1)

If vertically it is stretched by a factor of 4 ,

it will be

y =
`4 * (f(x) + 2)` --------------(2)

If it is translated 5 units right ,

it will be,

y=
`4 * (f(x -4) +2)` ---------------(3)