How does the graph of g(x)=⌊x⌋−3 differ from the graph of f(x)=⌊x⌋?

1.The graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted right 3 units.

2. The graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted left 3 units.

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

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

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mathstudent55 mathstudent55 · Answer 1 · 2018-10-25T21:05:44+02:00

Answer:

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

Step-by-step explanation:

The -3 is a shift of 3 units down.

Answer:

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

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calculista calculista · Answer 2 · 2019-01-12T19:33:49+01:00

Answer:

The answer is the option [tex]4[/tex]

The graph of [tex]g\left(x\right)=\left|x\right|-3[/tex] is the graph of [tex]f\left(x\right)=\left|x\right|[/tex] shifted down [tex]3[/tex] units

Step-by-step explanation:

we have

[tex]f\left(x\right)=\left|x\right|[/tex]

The vertex of the function f(x) is the point [tex](0,0)[/tex]

[tex]g\left(x\right)=\left|x\right|-3[/tex]

The vertex of the function g(x) is the point [tex](0,-3)[/tex]

therefore

The rule of the translation of f(x) to g(x) is equal to

[tex](x,y)-------> (x,y-3)[/tex]

That means-------> The translation is [tex]3[/tex] units down