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Determine the equation of g(x) that results from translating the function f(x) = (x + 8)2 to the right 9 units.

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1 Answer

I am assuming that when you write (x+8)2 you actually mean (x+8)^2
To translate a function to the RIGHT any number of units, you SUBTRACT that number from x. Therefore:
g(x) = (x+3)^2
 
If you wanted to translate the function to the left, you would ADD the number to x. And if you wanted to translate a function up, you would ADD the number to the entire funtion. Likewise, you would SUBTRACT from the entire function if you wanted to translate the function down.

Comments

I see That G(x) moved to the right will be =(x-9+8)^2= (x-1)^2
I'm misreading stuff left and right today. I thought it was 5.

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