Answer:
y = -1/9(x - 3) + 1.
Step-by-step explanation:
THe vertex is at (3, 1) so we can write:
y = a(x - 3)^2 + 1 where a is a constant.
Now the point 1, 5/9) is on the parabola so:
5/9 = a(1 - 3)^2 + 1
5/9 = 4a + 1
4a = 5/9 - 1 = -4/9 so
a = -4/9 / 4
a = -1/9
So the equation is y = -1/9(x - 3) + 1.
