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Mathematics 14 Online
OpenStudy (anonymous):

Please help! I don't understand! How can the graph of y = x^2 be shifted to obtain the graph of y = (x-2)^2 + 3 ?

OpenStudy (anonymous):

@jim_thompson5910

OpenStudy (anonymous):

I know it has to do with f(x+c), f(x)+c), f(cx), or c(f(x)). I just don't know which one!

jimthompson5910 (jim_thompson5910):

what does that +3 do?

OpenStudy (anonymous):

shifts the graph 3 units up?

jimthompson5910 (jim_thompson5910):

yes

jimthompson5910 (jim_thompson5910):

how about that x-2?

OpenStudy (anonymous):

makes the graph move two units to the left?

jimthompson5910 (jim_thompson5910):

close, it's actually to the right

jimthompson5910 (jim_thompson5910):

x+2 would shift it 2 units to the left

jimthompson5910 (jim_thompson5910):

it's opposite because the general form is x-h h tells you if it shifts left or right (h < 0 is left, h > 0 is right)

OpenStudy (anonymous):

So to shift the graph of y = ^2 to obtain the graph of y =(x-2)^2 you would shift the graph 2 units to the right and 3 units up?

jimthompson5910 (jim_thompson5910):

correct

jimthompson5910 (jim_thompson5910):

you meant to say y = x^2

OpenStudy (anonymous):

Yes, thank you.

jimthompson5910 (jim_thompson5910):

no problem

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