What is the vertex form of #y=41x^2-3x+17#?
The wording 'vertex form' is new to me but I am assuming it is completion of the square:
If I am wrong about the term then perhaps I am showing you something else that may prove useful.
At the moment I can use the equals because I have not changed any of the total values on the right hand side (RHS). However, the next stage does change the value on the right so at that point I must not use the equals sign.
Suppose I rewrite (1) and use the
Now square the bracket
Add the constant ( the right still does not
The way we have written the bracket introduces an error. Let me multiply the bracket out and you will see what I mean.
We have introduced the extra value of
To compensate for this we remove it by subtracting the same value
So the vertex form (completing the square) is:
Adjust equation (3) by subtracting