Graphing
Factoring
Algebra
Quadratics
Historical background
100
The standard form of quadratics
y=ax^2+bx+c
100
The vertex form of quadratics
y=a(x-h)^2+k
100
The factored form of quadratics
y=a(x-r)(x-s)
100
The process to convert quadratics in standard form to quadratics in vertex form
completing the square
100
What is the vertex ?
(3,-1)
200
The value of y -intercept of quadratics in standard form
y=c
200
Values of a to reflect
y = a (x - h)^2 + k
a < 0
200
The factored form of
x^2-6x+8
(x-2)(x-4)
200
What is the vertex of the equation
y = (x - 12)^2 + 7?
(12, 7)
200
What are the solution(s) to
x^2=-9
No Solution
300
The y-value of
y = x^2 + 2x + 1 at
x=-4
y=9
300
The vertex of
-2 (x + 4)^2 + 2
(-4,2)
300
What are the zeros of
y = (x -9)(x+2)
(9,0) and (-2,0)
300
What are the solutions to
x^2+6x=0
x=-6 and x=0
300
How many solutions does this graph have?
No solution
400
Special Term of
y=a^2 + 2ab + b^2
The perfect square trinomial
400
The y -intercept of
y = 2(x+3)^2 - 8
y=10
400
What is the vertex of
y = -3(x -5)^2 -8
(5,-8)
400
A parabola has a vertex at (-3,2). Where is the axis of symmetry?
x = -3
400
Name the zero ?
0 and 4
500
Special term of
y=a^2-b^2
Difference of squares
500
Will there be an maximum or minimum y-value
y = -4 (x +6)^2 -5?
maximum value
500
What is the y-intercept of
y = x^2 +10x-11
(0,-11)
500
Does the graph of
-2(x + 5) + 2
have a minimum or a maximum?
Maximum
500
what is the solution ?
1 and 3