SOLUTION: Describe in words how you would obtain the graph of y = 3(x-4)^2 from transmission of the graph y = x^2 make sketches of both parabolas on the same set of axis. can you please

Algebra ->  Graphs -> SOLUTION: Describe in words how you would obtain the graph of y = 3(x-4)^2 from transmission of the graph y = x^2 make sketches of both parabolas on the same set of axis. can you please       Log On


   

Question 684114: Describe in words how you would obtain the graph of y = 3(x-4)^2 from transmission of the graph y = x^2 make sketches of both parabolas on the same set of axis.
can you please explain this to me? thanks in advance
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Step 1) Start with the graph of y = x^2 (shown in green)



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Step 2) Shift it 4 units to the right to get y = (x-4)^2 (shown in blue)






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Step 3) Then vertically stretch it by a factor of 3 to get y = 3(x-4)^2 (shown in purple)



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For the sake of comparison, here are the two graphs y = x^2 (in green) and y = 3(x-4)^2 (in blue)




and finally, here is the graph of just 3(x-4)^2 (in green)