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1.Given that $(2,-7)$ is on the graph of $y = f(x)$, find a point that must be on the graph of $y = f(x - 3)$. Express your answer as an ordered pair $(a,b)$ where $a$ and $b$ are real numbers.

 

2.Given that (3,15) is on the graph of y=f(x), find a point that must be on the graph of y=f(x)-7 . Express your answer as an ordered pairs (a,b)  where a and b are real numbers.

 

3. Given that(-2,3) is on the graph of y=f(x) , find a point that must be on the graph of y=f(2x+1)+3. Express your answer as an ordered pair(a,b)  where a and b are real numbers.

 
 Sep 21, 2022
 #1
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1. (a,b) = (5,-12)

 

2. (a,b) = (-3,10)

 

3. (a,b) = (-1,9/2)

 
 Sep 21, 2022
 #2
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\(-7 = f(2)\)

  \(-7 = f(5-3)\)

\(\color{brown}\boxed{(5, -7)}\)

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 Sep 21, 2022

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