Answer:
see explanation
Step-by-step explanation:
Given f(x) then f(x) + c represents a vertical translation of the graph of f(x)
• If c > 0 then vertical shift up of c units
• If c < 0 then vertical shift down of c units
7
f(x) + 3 → vertical shift up of 3 units
Thus the point (- 3, 0 ) → (- 3, 0 + 3 ) → (- 3, 3)
8
f(x) - 5 → vertical shift down of 5 units
Thus point (4, - 2 ) → (4, - 2 - 5 ) → (4, - 7 )
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Given f(x) then f(x + a) represents a horizontal translation of the graph of f(x)
• If a > 0 then horizontal shift to the left of a units
• If a < 0 then a horizontal shift to the right of a units
9
f(x - 10) → horizontal shift to the right of 10 units
Thus point (3, 3 ) → (3 + 10, 3 ) → (13, 3 )
10
f(x + 4) + 5 → shift to the left of 4 units and shift up of 5 units
Thus point (6, 1 ) → (6 - 4, 1 + 5 ) → (2, 6 )
