1. 17H-17J Quadratic Modeling and Where Functions Meet
Unit 4: Mathematical Models
17H, 17I, 17J
4/18/ :17 PM

2. Factors
factor(s): 2 x-int(s): n/a 3 -2 roots/zero(s): n/a 3 -2 when given a few characteristics (e.g.: intercepts, vertex, axis of symmetry) and then asked to determine the equation of a quadratic function you often must use the connection between x-intercepts and factors sometimes you also will need to play upon a parabola’s symmetrical shape for example, if all you are given are the two x-intercepts, how can you find the x-coordinate of the vertex?
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17H, 17I, 17J
4/18/ :17 PM

3. Intersection cutting touching missing
two intersection points one intersection point no intersection points
in modeling, finding intersection point(s) may help to determine:
where two paths cross
the relationship between two factors in one situation represented by two equations (e.g.: break even points)
17H, 17I, 17J
4/18/ :17 PM

4. Solving Systems of Equations
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use substitution or GDC substitution solve two equations simultaneously substitute any real solutions back into one of the equations (or into both to check your work) state intersection points as ordered pairs GDC type both equations into the “Y=” screen in the “CALC” menu, use “intersect”
17H, 17I, 17J
4/18/ :17 PM

5. Quadratic Optimization
finding the maximum or minimum value in modeling, this value can help determine: maximum profits minimum costs maximizing heights reached (or largest volume or area)
17H, 17I, 17J
4/18/ :17 PM

6. Quadratic Optimization
finding the maximum or minimum value in modeling, this value can help determine: maximum profits minimum costs maximizing heights reached (or largest volume or area)
17H, 17I, 17J
4/18/ :17 PM

7. Practice
p. 518: 1(c)(d), 2(b)(e)(f), 3(b)(d)(f), 5 p. 520: 1(b)(d)(e), 2(d), 3(a)(f) p. 523: 1-3, 5-7, 9 Read and follow all instructions. List the page and problem numbers alongside your work and answers in your notes. Use the back of the book to check your answers.
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17H, 17I, 17J
4/18/ :17 PM