Answer:
see explanation
Step-by-step explanation:
22
- [tex]\sqrt{x}[/tex] is a reflection of [tex]\sqrt{x}[/tex] in the x- axis
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Thus
g(x) = - [tex]\sqrt{x}[/tex] - 4
is a reflection in the x- axis, followed by a vertical translation 4 units down
23
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Thus
h(x) = [tex]\sqrt[3]{x+1}[/tex] + 5
is a horizontal translation 1 unit left and a vertical translation of 5 units up
