Quadratic+1+Real+World+Curve

=Real World Parabola = = Bada bah bah bah, we're loving graphs!!!! What do you get when you cross geometry with McDonalds?= =A plane Cheeseburger=

__Factoring by Mat__
y= a(x-b)(x-c) y= a(x+3)(x-1) 4= a(-1+3)(-1-1 4= a(2)(-2) 4=a(-4) -4 -4 (-4 and -4 cancel out)

a=-1

**y=-1(x+3)(x-1) 0=-1(x+3)(x-1) -1 -1 (-1 and -1 cancel out) 0=(x+3)(x-1) x=-3 x=1 **

__Calculating Vertex and Axis of Symmetry by Jenn__
x intercepts- (-3,0) (1,0) (-3 + 1) ÷ 2 = x -2 ÷ 2 = x x = -1 axis of symmetry y = -(x + 3) (x - 1) y = (-1 + 3) (-1 - 1) y = -2 × -2 y = 4 vertex (-1,4)

__Quadratic Formula by Michelle__
 x = __2 ± √2^2 – 4(1)(-3)__ 2(1)

x = __2 ± √4 +12__ 2

x = __2± √16__ 2 x = __2 ± 4__ 2

x = __-2 + 4__ 2 ** x = 1 **

x = __- 2 - 4__ 2 ** x = -3

**

__Completing the Square by Michelle__
y = x2 +2x – 3 0 = x2 +2x – 3 ** 4 + ** 0 = x2 +2x – 3 ** + 4 **

4 = x2 + 2x + 1 4 = (x +1) (x + 1) 4 = (x +1)^2 √4 = √(x +1)^2 ±2 = (x +1) -1 ±2 = (x +1) -1

2 -1 = x ** 1 = x **

-2 -1 = x ** -3 = x **