SOLUTION: If the x-intercept of f(x) is 2, what is f(x+5)

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Question 1097697: If the x-intercept of f(x) is 2, what is f(x+5)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

The graph of f(x) is unknown. The same applies to f(x+5).

However, we know that "the x-intercept of f(x) is 2" meaning that f(2) = 0. Plug in x = 2 and it leads to the output y = 0. Therefore the point (2,0) is on the graph f(x)

When dealing with f(x+5), we shift the function curve 5 units to the left. Therefore (2,0) will become (-3,0)

The point (-3,0) is the x intercept of f(x+5). Put another way, the x intercept of f(x+5) is -3.