What is the vertex of the following equation. I do not really understand how to do it, so if someone can show me a example of how to do it then I think I could do it.
y = x^2 − 2x

Question

What is the vertex of the following equation. I do not really understand how to do it, so if someone can show me a example of how to do it then I think I could do it. 
y = x^2 − 2x

anonymous · Answer

@rileychampion365

anonymous · Answer

If the equation is y = 3(x + 4)2 - 6, the value of h is -4, and k is -6. To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square. Let's see an example. Convert y = 2x2 - 4x + 5 into vertex form, and state the vertex.

anonymous · Answer

$$h= \frac{ -b }{ 2a }$$

anonymous · Answer

ok thanks. so for that equation I have I would have $$h=\frac{ -2}{ 2(2)}$$

anonymous · Answer

Mhmmm...

anonymous · Answer

How would I get the two points. h =4 what would my y axis be?

anonymous · Answer

To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square.

anonymous · Answer

I haven't learned that yet in algebra. So I would do 2(x-4)+0?

anonymous · Answer

@iGreen

anonymous · Answer

wait so y would equal 2x-8?

anonymous · Answer

yes

anonymous · Answer

ok so then my point on a coordinate plane would be (2,-8) ?