This week in Precalc 11 I have learned how to convert vertex to general to factored form, (order doesnt matter), what does matter is that knowing which equation to convert to in order to solve the problem and provide an answer. I chose to display my learning of the converting the different equations because it is important to me that I familiarize myself with the equations and how I can derive answers from each and every one of them.
Vertex form is the easiest equation that supply’s the most answers to many questions, but it might be the hardest to convert to, we use an altered version of squaring to try and help solve. General form showed us the stretch and y-intercept but to access more information we would have to convert it into vertex form. Factored form does not offer as many answers as vertex can but it does immediately give us the stretch and x-intercepts without solving to find, but in my experience it is the longest to convert into vertex form, and a tedious task to put back into general form.
Down below I display different equations that have been converted into the different forms. A graph is included to show what the equation answers without solving further for it.
Vertex- Begin by halving the x value six by 2, than square 3, add and subtract 3 twice to the equation, simplify within the brackets, bring -3 out of the brackets and subtract it will 11.
General- Expand the brackets and solve within, subtract 10.
Factor- Determine what multiplies into -18 that when added or subtracted can equal to -7, than expand into brackets.