What is the vertex form of #y= (x-1)(x – 6) #?
Let's convert this into standard form. Then we can "complete the square" to solve for the vertex form.
Now let's complete the square. To do that, we need to find a value that make
Now we have the value that makes the equation true. But!! we cannot introduce a new value! Not without immediately subtracting it, which would make the final value
So, we added
Now our equation is