This week we learned how to model using quadratic functions. This is a question I struggled with mostly because I didn’t quite understand the question. I found this question easier to solve when key words are pulled out of the question. In this question the words sum, 20cm, produce, and area were important to keep in mind when solving this. I got the initial equation W+L =20cm because the question asked for the sum. Next I moved the W to the other side on the equal sign, giving me the value of L. Area is found by LxW so all that was left was multiplying by W to get the area; although, in this question W was not provided so the final equation is written area= W(20-W)
This week we learned three different formulas used to help graph. Each of these graph are important because they supply us each with different information used for plotting. To fully graph an equation its important to have all our information and by doing so we need to be able to change from one formula to another. Although we learned how to complete squares in our past units, I found this most difficult in this unit too but at the same time this concept is very important since when doing so it gives us standard form. Standard in my opinion is the best form because it gives us the vertex and line of symmetry. When in standard form, convert into other forms seems easier.