find the vertex of the parabola and give its direction of opening.
x = 1/2y^2 + 3y-6
First step is to tkae out half as a common factor
Now we need to change the constant term from inside the brackets so we can form a perfect square. To do this we take the co-efficient of the middle term, half it and square it. This gives +9 giving
Then making the perfect square complete.
Can you take it from here?