L

L

L R

R

R

On regressions, if values come out as the following….round!

1.5 E-12 =0

1.74999998 =1.75

Notes 5.6Calculator and quadratics

practiceChart to help identify boundaries for vertex and s/r/z

Labeling the Graph

L

R L

R

RL

Zero

Max(vertex)

Min(vertex)

L

R L

R

RL

Zero

Go to 2nd trace to find

A. Max or min (vertex) (round to 1000ths)

B. All S/R/Z (round to 10ths)

C. Find f(– 12.5)

D. Y-intercept

)125.28,75.3(. A

)0,0()0,5.7(. andB

)125,5.12(. C

x y

-4 28

-3 27

-2 22

-1 13

0 0

1 -17

Note that 2nd differences are the same’ thus this data is

_______________________

What equation models this data?

xxxf 152)( 2

Quadratic

)0,0(.D

How to find an equation given points• Stat edit (enter points in L1 and L2)

• Stat Calc • Quadratic regression• Enter

Transfer equation to y=• Y=• vars• #5 (statistics)• EQ• Enter

Find vertex or zero

• 2nd trace (calc)• Choose #• Set lt and rt boundaries• When it says guess hit• Enter

Find prediction• 2nd window (table set)• Put # in table start• table

10122)( 2 xxxf

Go to 2nd trace to find:

A. Max or min (vertex) :

B. All zeros

C. Find f(3.5)

D. y-intercept

)8,3(. A

)0,1()0,5(. andB

)5.76,5.3(. C

)10,0(. D

( , )

Word Problem Hint

V (x , y)a

b

2

When? XHow high? Max money? Y

V ( time , height )Max money

Quadratics and Systems of Equations

yxx

yxx

742

21342

2

yxx

yxx

21484

21342

2

Multiply the second equation by -2

0155 x

3x

y 7)3(4)3(2 2

y 7)3(4)9(2

23y

(3,23)

Quadratics and Systems of Equations

yxx

yxx

1083

4372

2

Substitute for y

1083437 22 xxxx0654 2 xx Pick a factoring

method.

24

3 xx

234 xx 38,2

16

91,

4

3

Practice/ Makerboards: odds do 1/3 and even 2/4

yx

yxx

17

345 2

yxx

yxx

2222

3422

2

1. 2.

3.

yx

yxx

8

562 24.

5

12,5

1

)15,2(

2

127,6

)1,1(

1,1)3,2(

2

15,2

1

)5,3(Change #3 to match mine!