Factorizing
Distributing
Forms of Quadratics
Graphs of quadratics
100
Factor the Quadratic
x^2+5x
x(x+5)
100
Distribute the quadratic
x(x-7)
x^2-7x
100
This form tells you the x-intercepts of a parabola.
Factored form
100
This coefficient in standard and vertex form tells whether a parabola is facing up or down.
ayyyyeeeee
200
Factor the quadratic
x^2+5x+6
(x+2)(x+3)
200
Distribute the quadratic
(x+1)(x-2)
x^2-x-2
200
ALL PLAY
Draw an action shot of this mammal "punting" a seal into the air.
200
This coefficient in standard form tells the y-intercept of a parabola.
sea, see, or c
300
ALL PLAY
x^2+4x-77
(x-7)(x+11)
300
ALL PLAY
(x+13)(x-13)
x^2-169
300
Identify one piece information each form a quadratic conveys. (the forms are listed below)
Standard
Factored
Vertex
Standard: y-intercept
Factored: x-intercepts
Vertex: coordinates of vertex
300
In a falling body problems what do the coefficients -16, v0 and h0 indicate?
-16 Downward force due to gravity
v0 initial/starting velocity
h0 initial/starting height
400
Factor the quadratic and identify the values of the x-intercepts
x^2+5x-24
(x-3)(x+8)
(-8,0),(3,0)
400
The box method was first invented and used by this Iranian Mathematician.
Muhammad ibn Musa al-Khwarizmi
400
Show each of the forms of the quadratic are equivalent
(x-7)(x-5)
x^2-12x+35
(x-6)^2-1
work may vary.
400
The following three expressions are equivalent forms of the same quadratic. Use each to plot points and graph the parabola.
-(x-6)^2+4
-x^2+12x-32
-(x-4)(x-8)
