Quadratic+4+GSP+Parabola

Geometer's Sketchpad Parabola

__Quadratic formula by Mat__


1x^2+3x+2

x=-3±√3^2-4*1*2 2(1) x=-3±√9-8 x=-3±√1 x=-3±1 -3-1= -4÷2= -2 -3+1= -2÷2= -1 **x=-1 x=-2 ** 

__Factoring by Michelle__


Equation: x^2 + 3x + 2 x-intercepts: (-1,0) (-2,0) (x+2) (x+1)

__Completing the Square by Jenn__


y = x2 + 3x + 2 0 = x2 + 3x + 2 **0.25 + **0 = x2 + 3x + 2 **+ 0.25 ** 

0.25 = x2 + 3x + 2.25 0.25 = (x + 1.5) (x + 1.5) 0.25 = (x + 1.5)2 √0.25 = √(x + 1.5)2 ±0.5 = x + 1.5 **-1.5 **±0.5 = x + 1.5 **<span style="background-color: #69fcf9; display: block; font-family: 'Comic Sans MS',cursive; text-align: center;">-1.5 ** <span style="background-color: #69fcf9; display: block; font-family: 'Comic Sans MS',cursive; text-align: center;">

0.5 -1.5 = x **<span style="background-color: #69fcf9; display: block; font-family: 'Comic Sans MS',cursive; text-align: center;">-1 = x **<span style="background-color: #69fcf9; display: block; font-family: 'Comic Sans MS',cursive; text-align: center;">

-0.5 -1.5 = x -2 =x

(-1,0) (-2,0)

<span style="background-color: #69fcf9; display: block; font-family: 'Comic Sans MS',cursive; text-align: center;">__Vertex/Axis of Symmetry__
<span style="background-color: #69fcf9; display: block; font-family: 'Comic Sans MS',cursive; text-align: center;">

axis of symmetry- x = -1.5 (-1 + -2) ÷ 2 = -1.5

vertex y = x2 + 3x + 2 y = -1.52 + 3(-1.5) + 2 y = 2.25 + -2.5 + 2 y = -0.5

vertex- (-1.5, 0.5)

<span style="background-color: #69fcf9; display: block; font-family: 'Comic Sans MS',cursive; text-align: center;">__Jokes by Mat__
<span style="background-color: #69fcf9; display: block; font-family: 'Comic Sans MS',cursive; text-align: center;">

Why was the obtuse angle upset? answer: Because he was never right