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Write a formula for the function obtained when the graph is shifted as described. When typing exponents use the carrot key ^ by pressing SHIFT and 6. For example x squared can be typed as x^2. Do not put spaces between your characters and remember to use parentheses in the appropriate places!f(x)=|x| is shifted down 3 unit and to the right 1 units.The new equations f(x)=Answer

Write a formula for the function obtained when the graph is shifted as described When typing exponents use the carrot key by pressing SHIFT and 6 For example x class=

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Remember the following transformation rules for functions:

Vertical translation up c units:

[tex]f(x)\rightarrow f(x)+c[/tex]

Vertical translation down c units:

[tex]f(x)\rightarrow f(x)-c[/tex]

Horizontal translation left c units:

[tex]f(x)\rightarrow f(x+c)[/tex]

Horizontal translation right c units:

[tex]f(x)\rightarrow f(x-c)[/tex]

If the given function, f(x)=|x| must be shifted down 3 units and to the right 1 unit, then, substract 3 from the function and substract 1 from the argument of the function.

First, perform a vertical translation down 3 units:

[tex]|x|\rightarrow|x|-3[/tex]

Next, perform a horizontal translation right 1 unit:

[tex]|x|-3\rightarrow|x-1|-3[/tex]

Therefore, the new equation is:

[tex]f(x)=|x-1|-3[/tex]

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