Determine if the Point is on the Graph f(x)=(x-1)^2 , (-5,3)

Problem

ƒ(x)=(x−1)2,(−5,3)

Solution

1. Identify the coordinates of the given point (x,y) where x=−5 and y=3

2. Substitute the xvalue into the function ƒ(x) to find the expected yvalue.

ƒ*(−5)=(−5−1)2

3. Simplify the expression inside the parentheses.

ƒ*(−5)=(−6)2

4. Evaluate the square of the number.

ƒ*(−5)=36

5. Compare the result ƒ*(−5)=36 with the given ycoordinate y=3

36≠3

Final Answer

36≠3⇒The point *(−5,3)* is not on the graph.

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