Algebra II Unit 4

Vertex form

y=a(x-h)^2+k

Intercept form

y=a(x-r1)(x-r2)

General form

y=ax²+bx+c

Axis of symmetry formula

x=-b/(2a)

Projectile motion formula

y=ax^2+v0x+s0

Vertex form terms

h and k are the x and y coordinates of the vertex respectively and a is the vertical scale factor

Intercept form terms

r1 and r2 are the x-coordinates of the x-intercepts and a is the vertical scale factor

General form terms

c is the y-coordinate of the y-intercept and a is the vertical scale factor

Projectile motion formula terms

a is half the downward acceleration of gravity (-4.9 for meters and -16 for feet), v0 is the initial upward velocity, and s0 is the initial height of the object

Complex number

a+bi

Conjugate pair

a+bi and a-bi

Modulus (absolute value) definition for complex numbers

The distance from the point to the origin

Modulus (absolute value) formula

(a²+b²)^0.5

Discriminant

b^2-4ac

Axis of symmetry formula

-b/2a

i with a multiple of four plus one as an exponent

i

i with a multiple of four plus two as an exponent

-1

i with a multiple of four plus three as an exponent

-i

i with a multiple of four as an exponent

1