AR 16 Notes Writing FunctionsThink about thisWhy do they call them square numbers What patterns do you seez31bA figurative number is a number that can be represented by a figure made of dots or other ID: 866816
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1 AR 1.6 Notes â Writing Quadratic
AR 1.6 Notes â Writing Quadratic Functions Think about this: Why do they call them square numbers? What patterns do you see? z. 3 1b A figurative number is a number that can be represented by a figure made of dots or other objects. Ex: Triangular numbers can be represented by arranging dots to form a triangle. Fill out the table below for the first 6 triangular numbers. 3 6 10 15 Triangular a. As you build the sequence, what patterns do you notice in Term # each successive (back-to-back) term? 13 1 ad-at I 3 b. Does the data set follow a Iâfor exponential function? Explain 6 1b goes vp a Consbnb 50 c. What pa
2 tterns do you see in the differenc
tterns do you see in the differences (subtra or ratios (divide)? djftzrcnc& hØf d. Find the second differences (the difference â subtract â of the difference). What do you notice? sawu numb« x 1 e. The quadratic parent function is y=x 2 . Write a sequence with y- values for this equation when x=l, 2, 3, 4, 5, 6. 3 5 4 f. Find the second differences for the quadratic parent function. What do you notice? 6 �112 orz Sam-I. Ex. What type of function would best model the data set below? Why? y Diff. 2 nd Diff. Ratio Step 1 . Compare differences, 2 nd differences and ratios CkÅ- dif-gennees arc 15 e +os a-FL 28
3 Ex. What type of function would be
Ex. What type of function would best model the data set below? Why? fLkJQD(-L.) Diff. 2 nd Diff. Ratio Step 1 . Compare differences, 2 nd differences and ratios 37 AR 1.6 Day 2 Notes â Writing Quadratic Functions A Quadratic Equation in standard form looks like this: To write a quadratic equation from a table we'll use a calculator. Here are the steps: ( uc&an) men O hoverc move cell A ) mote prple move 40 cell move- i con Cursor (Nah 4b b Seltz -eon chon vauves V ruler- ce(e-e.e enl-er Y move- U lek Ex. What e of function would best model the data o Why? Write an equation for the data. x y Diff. 2 nd Diff
4 . Ratio step 1 . Compare differences
. Ratio step 1 . Compare differences, 2 nd differences and ratios o o 1 1 3 6 4 10 q AM coe..re Step 2. Write an Equation Ex. What type of function would best model the data set below? Why? li x y Diff. 2 nd Diff. Ratio Step 1. Com are differences, 2 nd differences and ratios 0 5 1 10 2 15 3 20 4 25 arc zeros beauæ 1 4 d(V4e.znc-es are cut Kokus cre dt#e.nne Step 2: Write an Equation Ex. What type of function would best model the data set below? Why? Diff. 2 nd Diff. Ratio Step 1 . Compare differences, 2 nd differences and ratios rdbs are- 12 Step 2: Write an Equation 22 12 22 35 � 10 �3513 IJaà rahc_â + 1