The equation of the new parabola y=(x-3)^2 + 2.
We have given that the parabola y=x^2 is shifted up by 2 units and to the right by 3 units.
Therefore k=3 moves it to the right 3
h=2 moves it up 2.
What is the equation of shifting a parabola?
The graph of y=(x-k)²+h is the result of shifting (or translating) the graph of y=x², k units to the right, and h units up
Therefore we get the equation is,
y=(x-3)^2 + 2.
To learn more about the parabola visit:
https://brainly.com/question/3175397
