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45 votes
How does the graph of f(x) = (x − 1)2 relate to the basic function f(x) = x2?

User K M Dilshan Udara
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2 Answers

21 votes
21 votes

Answer: b.) shift 1 unit to the right

Step-by-step explanation: on edg 2020

User Simon Verbeke
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2.9k points
26 votes
26 votes

Answer:

Shift 1 unit to the right

Explanation:

Note: Both functions can not be represented by f(x) and square is missing in basic function.

The given basic function is

The given function is

So, the given function can be written in the form of basic form as

...(1)

The translation is defined as

.... (2)

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

Therefore, graph of f(x) shift 1 unit to the right to get graph of g(x).

User Maneesh
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2.9k points
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