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The parent function of f(x)=3× is to be shifted 4 to the right and 3 up. What would the new equation be?

Sagot :

semsee45

Answer:

[tex]g(x)=3(x-3)+3[/tex]

Step-by-step explanation:

Translations

[tex]\textsf{For}\quad a > 0[/tex]

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

Parent function:  [tex]f(x)=3x[/tex]

Translated 4 units right:  [tex]f(x-4)=3(x-4)[/tex]

Translated 3 units up:  [tex]f(x-4)+3=3(x-4)+3[/tex]

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