Answer:
Step-by-step explanation:
Vertex form is accomplished by completing the square on the quadratic. Do this by first setting the parabola equal to 0 then moving the constant over to the other side:

Now take half the linear term, square it, and add it to both sides. Our linear term is 6. Half of 6 is 3, and 3 squared is 9:

The reason we do this is to create a perfect square binomial on the left:
(obviously the 0 results from the addition of 9 and -9). Move the 0 back over to the other side and set the quadratic back equal to y:

This gives you a vertex of (-3, 0), which is a minimum value, since the parabola opens upwards.
Answer:
y=5
Step-by-step explanation:
Move all terms to the left
53y-55-(42y)=0
Add all the numbers together, and all the variables
11y-55=0
Move all terms containing y to the left, all other terms to the right
11y=55
y=55/11
y=5