Let the graph of g be a translation 4 units left followed by a horizontal shrink by a factor of 1/3 of the graph of f(x)=x²+x. Write a rule for g

The transformed function is:
g(x) = (3*(x + 4))² + (3*(x + 4))
Here we have the function:
f(x) = x² + x
Now we want to apply a translation of 4 units to the left, followed by a horizontal shrink by a factor of 1/3.
First, the translation is written as:
g(x) = f(x + 4)
Now the shink will give:
g(x) = f( 3*(x + 4))
Replacing the actual function we will get:
g(x) = (3*(x + 4))² + (3*(x + 4))
If you want to learn more about transformations:
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