Question

May someone please help me out with this problem? May you also explain it?

Answer 1

Explanation:

Given function is,

f(x) =
`√(x)`

If the given function is vertically stretched by a scale factor of
`(3)/(2)` Or 1.5,

Transformed function will be,

h(x) =
`(3)/(2)[f(x)]`

h(x) =
`(3)/(2)(√(x))`

Further function 'h' is shifted 1 units upwards,

g(x) = h(x) + 1

g(x) =
`(3)/(2)(√(x) )+1`

Domain of the function → x ≥ 0 Or [0, ∞)

Range of the function → y ≥ 1 Or [1, ∞)

Transformations done → Parent function f(x) is vertically stretched by a scale factor of
`(3)/(2)` then shifted 1 unit upward.