SOLUTION: Suppose you are given the graph of y=f(x).how does y=f(x) need to be shifted to obtain y=f(x-5)

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Question 1160660: Suppose you are given the graph of y=f(x).how does y=f(x) need to be shifted to obtain y=f(x-5)
Found 2 solutions by Theo, MathLover1:
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
it would need to be shifted to the right 5 units.
here's a graph of y = x and y = x-5.

$$$

here's a graph of y = x^2 and y = (x-5)^2.

$$$


the red graph is the original equation.
the blue graph is the original equation shifted to the right 5 units.

with y = x, when x = 0, y = 0.
with y = x-5, when x = 5, y = 0.

with y = x^2, when x = 2, y = 4.
with y = (x-5)^2, when x = 7, y = 4.







Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

use Horizontal Shifts theorem
To graph+y+=+f%28x+-+h%29, shift the graph of y+=+f%28x%29++right+h units by adding h to the x-coordinates of the points on the graph of f.
so, y=f%28x-5%29 will shift the graph of y+=+f%28x%29+to the +right by +5 units