Respuesta :

TaeKwonDoIsDead

Answer:

[tex]f(x)=2x-1[/tex]

Step-by-step explanation:

If we have a linear function of the form  [tex]f(x)=ax-b[/tex],

  • Vertical translation of c units up means:

f(x) = ax - b + c

  • Vertical translation of d units down means:

f(x) = ax - b - d

  • Horizontal translation of c units right means:

f(x) = a(x-c) - b

  • Horizontal translation of d units left means:

f(x) = a(x+d) - b

These are the horizontal/vertical translation rules. For the function shown, we apply the first rule and it becomes:

[tex]f(x)=2x-4\\f(x)=2x-4+3\\f(x)=2x-1[/tex]

This would be the new equation of the translated function.

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