The transformed function g(x) is:
g(x)=1/2(5x-3)+2
Step-by-step explanation:
The parent function is f(x)
It has been vertically compressed by a factor of one-half
if the function is vertically compressed then the function is multiplied by 1/2
Now, the function shifted to the left three units
It is horizontal shift, if g(x)=f(x-h) then function is shifted h units to the left
Lastly, the function is shifted up two units
It is vertical shift, if g(x)=f(x)+h, then graph is shifted up h units.
So, the transformed function g(x) is:
g(x)=1/2(5x-3)+2
Since options are not given, you can match the given options with the function g(x) above.
Keywords: Transformation
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