COLLEGE ALGEBRA UNIT 5&6 (QUADRATIC FUNCTIONS & COMPLEX NUMBERS)

a = 1/4c

what is the formula to find focal length

focal length

what does this formula find

a = 1/4c

focal length

distance between vertex and the focus, a point inside the parabola

focal point 

what does this formula find 

(h,k+focal length)

(h,k+focal length)

how do you find focal point

focal point

point on the axis of symmetry that is equidistant from every point on the parabola and its directrix

directrix

what does this formula find

y = k-focal length

y = k-focal length

how to find the directrix

directrix

horizontal line either below/above the parabola that is the same distance away from the vertex as the focal point

upward

which way does a parabola open if a > 0

minimum

does the parabola have a minimum or maximum if a > 0

downward

which way does the parabola open if a < 0

maximum

does the parabola have a minimum or maximum if a < 0

quadratic formula

what is this formula

(-b +- √b^2-4ac)/2a

zeros

what does the quadratic formula find

discriminant

what does this find

b^2-4ac

b^2-4ac

how to find discriminant

1 root with multiplicity of 2

how many roots do you have if discriminant = o

2 roots

how many roots do you have if discriminant > 0

2 complex roots

how many roots do you have if discriminant is < 0

quadratic formula

how to find roots of a quadratic equation

vertex 

what does (h,k) represent

(h,k)

how to write vertex

-b/2a

formula to find axis of symmetry and x value of vertex

axis of symmetry

what does this formula find

-b/2a

complete the square

how to go from standard form to vertex form 

(b/2)^2

what is the formula to complete the square of an equation

complete the square

what is this formula for

(b/2)^2

real axis

on the complex plane what is the x-axis known as

imaginary axis

on the complex plane what is the y-axis known as

|z|=√x^2+y^2

what is the formula for the modulus

modulus

what is this formula for

|z|=√x^2+y^2

modulus

is the distance from the origin to the point (x,y)

|z|

a-bi

what is the complex conjugate of a+bi

multiply by complex conjugate of denominator

how to divide 2 complex numbers

d=√(x2-x1)^2+(y2-y1)^2

what is the distance formula to find distance between two complex points

distance between two points

what is this formula for

d=√(x2-x1)^2+(y2-y1)^2

modulus

what do you use to find which point is closer to the origin

-1

what does i^2 equal

-i

what does i^3 equal

1

what does i^4 equal