Write an equation of the parabola in vertex form

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.

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