Quadratic Function
THE QUADRATIC FORMULA
The "Quadratic equation" created by two greek mathameticians (Euclid and pythagores) was to help solve the "a.o.s" by first finding the two x-intercepts and this "Quadratic Formula will help determine them when dealing with standerd form equations.
HOW TO FIND THE X-INTERCEPTS USING THE QUADRATIC FORMULA
From your standard form equation, substitude "a", "b", and "c" value from the quadratic equation with your correspnding values from your standard form equation, then you solve through bedmas. (Keeping in mind with the numbers you substitude in this equation that have integers, just remember that two negatives or positives makes your final number positive and if the integers are opposite to eachother then your final answer will be a negative.
At the end when you square root your answer. You will get two different answers. Your negative or positve "b" value will add and subtract with the square rooted number and divide with the corresponding "a" value number. these two numbers will be your x-intercepts.
When you recieve your x-intercepts, you add them and after divide them by two to get your a.o.s. Substitude your a.o.s back into your x-intercepts and solve through factored form to get your optimal value and your vertex.