Answer:
see explanation
Step-by-step explanation:
(a)
Given f(x) then f(x) + c represents 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
f(x) + 5 represents a shift up of 5 units, thus
(2, - 3 ) → (2, - 3 + 5 ) → (2, 2 )
(b)
Given f(x) then - f(x) represents a reflection of f(x) in the x- axis
Under a reflection in the x- axis
a point (x, y ) → (x, - y ), thus
(2, - 3 ) → (2, 3 )
