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4.10 Write Quadratic Functions and Models HEY GUYS THIS IS NIR, HUNTER AND CHRISTIAN TEACHING LESSON 4.10 P-3 DUDA MATH Goal and Vocab. O By the end of this lesson Hunter, Christain and I will teach you how to write a quadratic formula. • Vocab you need to know for the day… Best fitting quadratic model – The model given by performing quadratic regression on a calculator. Important Formulas! = ( − ℎ)2 + •X & Y are found in the coordinates given in the problem (usually 2nd set) •H & K are the 1st set usually = ( − )( − ) •As usual the X is the X coordinate and Y is the Y coordinate. •P & Q are the coordinates given on the Y axis = 2 + + •When you have 3 points given to you, you use this formula and the x’s are the x points, and same for the y. •A,B, and C you have to solve for. Write a Quadratic Function in Vertex Form Y-Values -5 -4 -3 -2 -1 6 5 4 3 2 1 0 -1 0 -2 -3 -4 Write a Quadratic Function in Vertex form O Example 1) O Step 1 – Use = ( − ℎ)2 + O Step 2 – Substitute for the “H” and “K” = ( + 2)2 − 3 O Step 3 – substitute for “X” and “Y” 5 = (0 + 2)2 − 3 O Step 4 solve for “A”, then later plug it in. 2= O So the quadratic formula for the parabola is = 2(0 + 2)2 − 3 Your Points (-2,-3) (0,5) Write a Quadratic Function in Intercept form Q (2,0) P (-3,0) Y-Values -4 -2 0 -0.5 0 -1 -1.5 -2 -2.5 -3 -3.5 -4 -4.5 2 4 Write a Quadratic Function in Intercept form O Step 1 – use = ( − )( − ) O Step 2 – substitute for “P” & “Q” = +3 −2 O Step 3 – substitute for “X” & “Y” −4 = −2 + 3 −2 − 2 O Step 4 solve for “A” and plug into equation =1 O So the equation for the Parabola is = + 3 ( − 2) Your points P (-3,0) Q (2,0) X,Y (-2,-4) CHECKPOINT O Write a quadratic function whose graph has the given Characteristics. Write a Quadratic Function in Standard Form O Write a Quadratic function in standard form that goes through these points (-2,-6) (0,6) (2,2) Shown on board Power Point Directed By Nir Taube Hunter Osking Christian Contrell Power Point Produced By Nir Taube Starring Nir Taube Hunter Osking Christian Contrell Big D aka Darth Vader Lesson