Question 18324: Hello to all!
Could someone kindly explain to me clearly, how to find the Vertex and intercepts of:
y = x^2 - 6x
The answer key says the Vertex is (3, -9), intercepts: (0,0), (6,0).
I certainly thank and appreciate all help given.
AC
Answer by Alwayscheerful(414)   (Show Source):
You can put this solution on YOUR website! there are 2 ways to solve, graph or mathematical.
the graph would look like this
If your graph was super detailed, you could see where the bottom was, but we can't here. Well, we can, but it's not accurate, so we use a formula to check.
The vertex is the very bottom of the little dip.
A formula would be
H stands for the X value of the vertex
K stands for the Y value of the vertex
The b is in 
In this case, the b would be -6 and the a woul dbe 1
Plug the numbers into the formula
The X value of the vertex is 3, as stated in your answer key. :)
Then to find the Y value, plug 3 into wherever you see X.
The Y value of the vertex is -9, as stated in your answer key :)
So, the vertex is (3,-9)
In this case, you can clearly see what the X-intercepts are.
(0,0) and (0,6)
Hope this helps!
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