Given the function f(x) = x3 + 2x2 − 3x − 5, what is the resulting function when f(x) is shifted to the right 1 unit?

f(x + 1) = x3 + 5x2 + 4x − 5 (Know it is not this)
f(x) + 1 = x3 + 2x2 − 3x − 4 (Or this)
f(x) − 1 = x3 + 2x2 − 3x − 6
f(x − 1) = x3 − x2 − 4x − 1 (Im pretty sure its this, can someone confirm?)

Question

Given the function f(x) = x3 + 2x2 − 3x − 5, what is the resulting function when f(x) is shifted to the right 1 unit?

 f(x + 1) = x3 + 5x2 + 4x − 5 (Know it is not this)
 f(x) + 1 = x3 + 2x2 − 3x − 4 (Or this)
 f(x) − 1 = x3 + 2x2 − 3x − 6
 f(x − 1) = x3 − x2 − 4x − 1 (Im pretty sure its this, can someone confirm?)

tkhunny · Answer

Horizontal shift.  Don't even think about B or C.

anonymous · Answer

yes you are correct because if it were the choice above you answer it would also be totally wrong. SO yes, you are correct

anonymous · Answer

How can you tell its a horizontal shift? Clarification on the subject would be great.

triciaal · Answer

to shift the graph left or right you are changing the x value  (get new function)
to shift the graph up or down you change the y value by a constant

triciaal · Answer

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