Answer:
Step-by-step explanation:
Given function is,
f(x) = [tex]\sqrt{x}[/tex]
If the given function is vertically stretched by a scale factor of [tex]\frac{3}{2}[/tex] Or 1.5,
Transformed function will be,
h(x) = [tex]\frac{3}{2}[f(x)][/tex]
h(x) = [tex]\frac{3}{2}(\sqrt{x})[/tex]
Further function 'h' is shifted 1 units upwards,
g(x) = h(x) + 1
g(x) = [tex]\frac{3}{2}(\sqrt{x} )+1[/tex]
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 [tex]\frac{3}{2}[/tex] then shifted 1 unit upward.
