What is the vertex form of #y=16x^2+14x+2#?
I have shown the solution in a lot of detail so you can see where everything comes from. With practice you can do these a lot faster by skipping steps!
Take the 16 outside the bracket giving:
This is where we start to change things but in doing so we introduce an error. This is mathematically corrected later on
At this stage it is not correct to say that it is the correct value for y
Divide what is inside the bracket by
Now halve the
Now square the bracket
In doing this we have introduced an error. This can be 'got round' like this:
As both (1) and (2) equal
Squaring the bracket
Multiplying the contents of the bracket by 16
we can cancel values that are the same on each side of the equals sign.
We are left with:
So the vertex form is: