What is the vertex form of #y=3x^2+2x+4#?
You can complete the square or use this trick ...
First, here is the vertex form of a parabola (quadratic):
We can find h and k very quickly using this trick and recalling that the general formula for a quadratic is
Now, going back to vertex form, plug in h and k:
Last, simply determine what is g by plugging in a known coordinate from the original equation like
Solving for g:
So, here is the vertex form:
hope that helped