Quadratic Formula also known as... Our Equation -x ²-x+2=0 The equation for labeling our variables.. ax ²+bx+c=0 -x ²-x+2=0 a: -1

b: 1

c:2 Back to the formula Using the variables, fill in the formula with the new values.. x=-(-1)±√(-1) ²-4(1)(2) _______________ 2(-1) Now solve x=1±√ 1-(-8) x=1±√9 Now Graph these points. . . Vortex! x=-(-1)±√(-1) ²-4(1)(2) x=1± √1 - (-8) _________________________________________________ 2(-1) _______________________ -2 ________________________ -2 x=1± _____________ √ 1 +(+8) x=1± √ 9 _____________ -2 -2 _______ -2 ______ x=1±3 -2 x=1+3 ______ -2 x=1-3 ______ -2 Plus or minus x=-2 x=1 1 + 3 = 4 ÷ (-2) = (-2) 1 - 3 = (-2) ÷ (-2) = 1 _________________________ ___________ ______________ ___ By:

Ayeska, Brianna & Jasmine __________________________ Equation for the vortex :

-b ___ 2a Substitute to solve -(1) ____ 2(-1) a=-1

b=1 = -1 ___ 2 ( x , y )

(-.5 , - ) Use original equation for y -x²-x+2=0 -(-.5)²-(-5).5+2=y

(-.25)-(-.5)+2=y

.75+2=y

2.75=y Vortex Values

( x , y )

(-.5 , 2.75 ) Vortex Table x y

-4 -10

-3 -4

-2 0

-1 2

0 2

1 0

2 -4

3 -10

4 -18 ________ __

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