SOLUTION: I'm trying to remember how to do this problem, we did this soo long ago Graph y=(x-7)^2+5

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Question 83761: I'm trying to remember how to do this problem, we did this soo long ago
Graph y=(x-7)^2+5
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
To graph y=%28x-7%29%5E2%2B5 simply choose a set of x values and plug them in to find the y values. After that, you can plot the points and graph the equation

y=%28x-7%29%5E2%2B5 Start with the given equation

y=%28%284%29-7%29%5E2%2B5 Plug in x=4

%28%284%29-7%29%5E2%2B5=14 Calculate the y value
So when x=4 y=14
So our 1st point is (4,14)




y=%28x-7%29%5E2%2B5 Start with the given equation

y=%28%285%29-7%29%5E2%2B5 Plug in x=5

%28%285%29-7%29%5E2%2B5=9 Calculate the y value
So when x=5 y=9
So our 2nd point is (5,9)




y=%28x-7%29%5E2%2B5 Start with the given equation

y=%28%286%29-7%29%5E2%2B5 Plug in x=6

%28%286%29-7%29%5E2%2B5=6 Calculate the y value
So when x=6 y=6
So our 3rd point is (6,6)




y=%28x-7%29%5E2%2B5 Start with the given equation

y=%28%287%29-7%29%5E2%2B5 Plug in x=7

%28%287%29-7%29%5E2%2B5=5 Calculate the y value
So when x=7 y=5
So our 4th point is (7,5)




y=%28x-7%29%5E2%2B5 Start with the given equation

y=%28%288%29-7%29%5E2%2B5 Plug in x=8

%28%288%29-7%29%5E2%2B5=6 Calculate the y value
So when x=8 y=6
So our 5th point is (8,6)




y=%28x-7%29%5E2%2B5 Start with the given equation

y=%28%289%29-7%29%5E2%2B5 Plug in x=9

%28%289%29-7%29%5E2%2B5=9 Calculate the y value
So when x=9 y=9
So our 6th point is (9,9)




y=%28x-7%29%5E2%2B5 Start with the given equation

y=%28%2810%29-7%29%5E2%2B5 Plug in x=10

%28%2810%29-7%29%5E2%2B5=14 Calculate the y value
So when x=10 y=14
So our 7th point is (10,14)






Now lets make a table of the values we have calculated 



 xy



 414
 

 59
 

 66
 

 75
 

 86
 

 99
 

 1014
Now plot the points



Now connect the points, this is the graph of (x-7)^2+5