SOLUTION: Explain how the graph of y-5=(x-3)^2 can be obtained from the graph of y=x^2.

Question 59415: Explain how the graph of y-5=(x-3)^2 can be obtained from the graph of y=x^2.
Answer by funmath(2933) (Show Source): You can put this solution on YOUR website!
Explain how the graph of y-5=(x-3)^2 can be obtained from the graph of y=x^2.
The graph of y=x^2 looks like:

The graph of y-5=(x-3)^2 looks exacltly the same, but rather than having a vertex at (0,0), it has a vertex at:
x-3=0 and y-5=0
x=3 and y=5
It's vertex is: (3,5)
A lot of books are teaching that it has a horizontal shift 3 units to the right and a vertical shift five units up.
y=(x-3)^2+5 The horizontal shift is a result of the -3 (3 units to the right) inside the parenthesis and the vertical shift is a result of the +5 (5 units up) outside of the parenthesis.
It looks like this:

Happy Calculating!!!
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