This one is already in standard form, so we can immediately see the center and radius.

If it is not in standard form, we need to complete the square to get those "perfect factors"
(it can't be (x-2)(x+3), it must be the same factor twice)

When it's in standard form, it's easy to find the center (h, k) and radius r.

Any time you see: x² and x or y² and y, , you have to complete the square.

What if it's not in standard form?

2. Imagine what constant makes it a "perfect trinomial" (ADD to other side to balance!)

1. Put each variable in order

(I don't do this step on the left)
3. Combine all constants on right
4. Write in standard form!

Did you write those steps & example down?

You're going to try now!

I am going to make you a slideshow of me working through each example below. BUT you try them first!!