Characteristics of Quadratics
What is the general form of a quadratic function?
f(x)=ax+bx+c
(a3 - 2a2) - (3a2 - 4a3)
5a3 - 5a2
6v(2v + 3)
12v2 + 18v
−2x2 − x − 1 = 0
No solution or Imaginary solution (if yk yk)
complete le square for free robux: (2x+5)(3x-4)
6x2+7x-20
What is the factored form of a quadratic function?
f(x)=a(x-r1) (x-r2)
(3x4 - 3x) - (3x - 3x4)
6x4 - 6x
-4(v + 1)
-4v-4
9m2 + 6m + 6 = 5
-1/3
complete el cuadro: (3x-9)(x-9)
3x2-36x+81
What does 'a' tell us?
'a' tells us if the parabola opens up or down.
7k4 + 11k2 - 6
(2n + 2)(6n + 1)
12n2 + 14n + 2
−4r2 − 4r = 6
No solution or Imaginary solution (...)
do le factoring: -3x3 - x
x(-3x2 - 1)
What does the vertex form tell us?
The vertex form tells us the transformation of the quadratic function.
(-7n2 + 8n - 4) - (-10n +7 - 2n2)
-5n2 + 18n - 11
(7n2 + 7n - 6)( 7n2 - 7n + 6)
49n4 - 49n2 + 84n - 36
−7n2 + 16n = 8n
0 , 8/7
doe la factoring of 3x2 + 25x + 42
(3x+7)(x+6)
What is the 'Zero Product Property'?
The zero product property states that if the product of two or more factors is equal to zero then at least the factor must equal zero.
(y3 - 7x4y4) + ( -10x4y3 + 6y3 + 4x4y4) - (x4y3 - 6x4y4)
7x3 + 3x4y4 - 11x4y3
(4n2 +5n2 - 6n + 10)(5n2 - 8n - 10)
45n4 - 102n3 + 8n2 - 20n - 100
−2x2 − 8x − 14 = −6
-2
la facturro of 6x2 - 12x - 90
6(x+3)(x-5)
(epic fun aj notes: coffee is just bean soup)