Blog post week 9 Modeling Problems with Quadratic Functions

This week I learned how to model problems using quadratic functions. The first step you do is make an equation in factor form because it will be a lot easier to find the roots. With the factor form formula you are able to find the axis of symmetry which will be you x intercept.

(x-x1)(x-x2) This formula is the factor form formula. So after you find the value of x you just substitute it into your equation. With my example I first had to use the rise/run to find my slope and after I found my slope I used the slope point formula.

y-y1=m(x-x1) This is the slope point formula.

Then you just substitute your values to get your equation. After you use a formula that helps you find the revenue of a certain object that is for sale. After you got that equation substitute your values again and then find the axis of symmetry or rearrange the equation. Then to find the axis of symmetry take your x value and divide it by 2. Then you will get your price and answer. For my example it has 2 answers but I mostly got $5. In this chapter I found the rearranging confusing but after I did more questions I understand how to arrange from different forms to the forms that I need in order to solve the quadratic equation. And if you get stuck just use standard form to get a vertex and then draw it on your parabola because you will find the axis of symmetry a lot faster and your x intercepts. This is what I learned in Math 11 pre calculus in this week.


this week. My example is number 6 in the workbook.