SOLUTION: Graph y=x^2+3 and y=(x+3)^2. What are the similarities and differences between the graphs? how do these graphs compare to the graph of y=x^2 ?

Algebra ->  Graphs -> SOLUTION: Graph y=x^2+3 and y=(x+3)^2. What are the similarities and differences between the graphs? how do these graphs compare to the graph of y=x^2 ?      Log On


   

Question 917651: Graph y=x^2+3 and y=(x+3)^2. What are the similarities and differences between the graphs? how do these graphs compare to the graph of y=x^2 ?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Same shape and size, different positions.

y=x^2+3 is moved upward three units from standard reference y=x^2.
y=(x+3)^2 is moved three units leftward from x^2.


The model standard y=x^2 is the parabola in red%28red%29:
graph%28300%2C300%2C-8%2C8%2C-8%2C8%2Cx%5E2%2Cx%5E2%2B3%2C%28x%2B3%29%5E2%29