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The graph of f(x) = 3 . 2*-3 is shown below. g(x) is a transformation of f(x).
How would you write the equation for the function g(x)?


The Graph Of Fx 3 23 Is Shown Below Gx Is A Transformation Of Fx How Would You Write The Equation For The Function Gx class=

Sagot :

Answer: (c)

Step-by-step explanation:

Given

Function [tex]f(x)[/tex] is [tex]3\times 2^x-3[/tex]

Also, [tex]g(x)[/tex] is the transformation of [tex]f(x)[/tex]

From the graph, it is clear that [tex]g(x)[/tex] passes through the point [tex](0,5)[/tex]

Now check the option which satisfies the condition

option (c) seems to obey it

[tex]g(x)=3\cdot 2^x+2\\g(0)=3\cdot 2^0+2\\g(0)=3\cdot 1+2\\g(0)=3+2\\g(0)=5[/tex]

Therefore, option (c) is correct.