Studied by 10 peopleQuadratic Functions, Completing the Square, Imaginary Numbers, Etc.
f(x)=a(x-h)²+k
Vertex Form of Quadratic Function
x=h
Axis of Symmetry
(h, k)
Vertex
a < 0
Opens down, max
a > 0
Opens up, min
f(x)=ax²+bx+c
Standard Form of Quadratic Function
h= -b/2a
Finding h value from Quadratics
k= f(h)
Finding k value from Quadratics
(0, c)
y-intercept
a²-b² = (a+b)(a-b)
Difference of Squares
a²±2ab+b² = (a±b)²
Perfect Square Trinomial
i¹ equals…
i
i² equals…
-1
i³ equals…
-i
i⁴ equals…
1
a+bi/c+di = (a+bi/c+di)(c-di/c-di)
How to divide Complex Numbers
b²-4ac
Discriminant
b²-4ac > 0
2 real solutions
b²-4ac = 0
1 real solution
b²-4ac < 0
2 imaginary solutions
y=x²
Parent Function of a Quadratic
x= (-b±√b²-4ac)/2a
Quadratic Equation
c=(b/2)²
Find C value for Completing the Square
Note
Flashcard