SOLUTION: explain how the graph of y-5=(x-3)^2 This is what I did. y-5=(x-3)^2 y=(x-3)^2+5 answer: y=x^2 right 3 units and up 5 ??? right or way off?

Algebra ->  Functions -> SOLUTION: explain how the graph of y-5=(x-3)^2 This is what I did. y-5=(x-3)^2 y=(x-3)^2+5 answer: y=x^2 right 3 units and up 5 ??? right or way off?      Log On


   



Question 55113: explain how the graph of y-5=(x-3)^2

This is what I did.
y-5=(x-3)^2
y=(x-3)^2+5
answer: y=x^2 right 3 units and up 5
??? right or way off?

Answer by rchill(405) About Me  (Show Source):
You can put this solution on YOUR website!
Always, always, always, solve for y first! Expanding our equation yields y-5=x%5E2-6x%2B9. Adding 5 to both sides gives us y=x%5E2-6x%2B14. Any polynomial of 2nd degree will plot to a parabola; here it is:
graph%28300%2C300%2C-2%2C10%2C-2%2C15%2Cx%5E2-6x%2B14%29