UNCC Math 1101 test 1

Vertex formula

-b/2a

Slope Formula

(y2-y1) / (X2-X1)

Domain- Radicals/roots √

set it ó0

Domain- Rationals/fractions

Set =0 and solve

Polynomials

(-∞,∞)

vertex form

axis of symmetry

vertex

f(x)=a(x-h)²+k

x=h

(h,k)

Standard form

axis of symmetry

vertex

f(x)=ax²+bx+c

-b/2a

(-b/2a, f(-b/2a) )

graph shape

a > 0 (a is positive)

U

Graph Shape

a < 0 (a is negative)

∩

point slope form

y-y0 = m(x-x0)

Y0 and X0 is a point on the line and m is the slope

slope intercept form

y=mx+b

m is slope, b is y-intercept

Standard form

Ax + By = C

has to be positive and have no fractions

Consistent and independent

intersecting lines, one solution at point of intersection

Consistent and dependent

Same exact lines, infinitely many solutions

Inconsistent

parallel lines, no solutions