How does the graph of g (x) = ⌊x⌋-3 differ from the graph of f (x) = ⌊x⌋? The graph of g (x) = ⌊x⌋-3 is the graph of f (x) = ⌊x⌋ shifted right 3 units. The graph of g (x) = ⌊x⌋-3 is the graph of f (x) = ⌊x⌋ shifted up 3 units. The graph of g (x) = ⌊x⌋-3 is the graph of f (x) = ⌊x⌋ shifted down 3 units. The graph of g (x) = ⌊x⌋-3 is the graph of f (x) = ⌊x⌋ shifted left 3 units.

Question

Mathematics

Lillianna Dominguez

2 May, 23:12

How does the graph of g (x) = ⌊x⌋-3 differ from the graph of f (x) = ⌊x⌋? The graph of g (x) = ⌊x⌋-3 is the graph of f (x) = ⌊x⌋ shifted right 3 units. The graph of g (x) = ⌊x⌋-3 is the graph of f (x) = ⌊x⌋ shifted up 3 units. The graph of g (x) = ⌊x⌋-3 is the graph of f (x) = ⌊x⌋ shifted down 3 units. The graph of g (x) = ⌊x⌋-3 is the graph of f (x) = ⌊x⌋ shifted left 3 units.

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Answers (2)

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John Hart · Answer 1

The graph of g (x) = ⌊x⌋-3 is the graph of f (x) = ⌊x⌋ shifted down 3 units.

Step-by-step explanation:

g (x) = ⌊x⌋-3 = f (x) - 3

When we add or subtract from the function, this is a shift up or down

Since we are subtracting this is a shift down of 3

Reina Villarreal · Answer 2

The graph of g (x) = ⌊x⌋-3 is the graph of f (x) = ⌊x⌋ shifted down 3 units

Step-by-step explanation:

f (x) = ⌊x⌋ is the parent function

g (x) = ⌊x⌋ - 3 = f (x) - 3, that is, the parent function subtracted by 3

This subtraction shifted down (3 units in this case) the parent function.