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Notes 5.6 Calculator and quadratics practice. Chart to help identify boundaries for vertex and s/r/z. L. R. On regressions, if values come out as the following….round! 1.5 E -12 =0 1.74999998 =1.75. R. L. L. R. Labeling the Graph. Max (vertex ). L. R. Zero. L. R. L. R. R.
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Notes 5.6Calculator and quadratics practice Chart to help identify boundaries for vertex and s/r/z L R On regressions, if values come out as the following….round! 1.5 E-12 =0 1.74999998 =1.75 R L L R
Labeling the Graph Max (vertex) L R Zero L R L R R L R L L R Zero Min (vertex)
Note that 2nd differences are the same’ thus this data is _______________________ What equation models this data? Quadratic Go to 2nd trace to find A. Max or min (vertex) (round to 1000ths) All S/R/Z (round to 10ths) Find f(– 12.5) Y-intercept
How to find an equation given points Find vertex or zero • Stat edit (enter points in L1 and L2) • Stat Calc • Quadratic regression • Enter • 2nd trace (calc) • Choose # • Set lt and rt boundaries • When it says guess hit • Enter Transfer equation to y= • Y= • vars • #5 (statistics) • EQ • Enter Find prediction • 2nd window (table set) • Put # in table start • table
Go to 2nd trace to find: A. Max or min (vertex) : All zeros Find f(3.5) y-intercept
Word Problem Hint (, ) V (x , y) V ( time , height ) Max money When? X How high? Max money? Y
Quadratics and Systems of Equations Multiply the second equation by -2 (3,23)
Quadratics and Systems of Equations Substitute for y Pick a factoring method.
Practice/ Makerboards: odds do 1/3 and even 2/4 1. 2. 3. 4. Change #3 to match mine!