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let f(x)=4^x. The new function g(x)=f(x-1)+3 represents transformations that were made to function f. Type the new equation for g. g(x)=___

Describe the two types of transformations that occur between function f and function g. (use words like up, down, left, right, compression or stretch in your answer.)

let fx4x The new function gxfx13 represents transformations that were made to function f Type the new equation for g gx Describe the two types of transformation class=

Respuesta :

Answer:

g(x) = [tex]4^{(x-1)}+3[/tex]

Step-by-step explanation:

Given exponential function is,

f(x) = [tex]4^{x}[/tex]

If the given function is shifted 1 unit to the right,

h(x) = f(x - 1)

      = [tex]4^{(x-1)}[/tex]

If the function 'h' is shifted 3 units up,

g(x) = h(x) + 3

      = [tex]4^{(x-1)}+3[/tex]

Therefore, transformed function will be,

g(x) = [tex]4^{(x-1)}+3[/tex]

Answer:

g(x)= [tex]4^{x+1}+3[/tex]

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