From f(x) to f(x + 8), the ENTIRE parabola will be SHIFTED 8 units to the LEFT, so roots (3 and 5), or x-intercepts (3, 0) and (5, 0) are SHIFTED HORIZONTALLY,

8 units to the left thus making the new roots, (3 - 8), or - 5, and (5 - 8), or - 3. The points can also be written as:  (- 5, 0) and (- 3, 0). 

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
 Suppose that the​ x-intercepts of the graph of y= f(x) are 3 and 5.

 What are the​ x-intercepts of the graph of y= f(x+8)?

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It's not specified that the function is a parabola, or that it's a 2nd order function.

 

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