Algebra 1301 Exam 2

Vertex Formula

(h,k) where h= -b/(2a)

Standard Form

Ax² + Bx + C

Vertex Form

y= a(x-h)²+k

Axis of Symmetry Formula

X = -b/(2a) (or just x value of vertex)

Quadratic Formula

How to tell how many zeros a polynomial has

Look at the highest exponents number

How to find graph behavior

Leading term’s exponent (even=both ends go same way) (odd=ends go opposite ways)

How to find end behavior

Leading term’s value (negative=right falls down) (positive=right rises up)

Multiplicity of Zeros on a Graph

Even: bounce, Odd: crosses

How to find minimum degree from graph

Number of turning points + 1

how to find Horizontal asymtotes

compare degree of numerator (n) to the degree of denominator (d)

N compared to D

N > D = No horizontal asymptote

N < D = Horizontal asymptote at y=0

N=D = divide leading coefficients

How to find the slant asymptote

IF N is one greater than D, then divide numerator by denom and ignore remainder

All possible rational zeros

P/Q (P=constant , Q=Leading coefficient

1/x² asymptotes

Vertical: x=0, Horizontal y=0

Vertical Asymptote

Set denominator = 0 then solve for x