Answer:
y=2/3(x-3)^2+1
Explanation:
The parent function of a parabola is y=x^2:
The transformation of this graph shows the parabola is shifted to the right 3 and up 1 so we apply that to our equation y=(x-3)^2+1
to solve the stretch factor:
y=a(x-3)^2+1
we can see when x=0 y=7 so we use this set
7=a(0-3)^2+1
7=a(-3)^2+1
-1 -1
6=9a
divide by 9
a=2/3