UGA Math Placement Test
in quadratics, (x,y) are equal to what in standard form
(h,k)
x to the p/n
(n square root) to p
axis of symmetry equals
-b/2a
h equals
-b/2a
sin(-t), cos(-t), tan(-t)
-sin(t), -cos(t), -tan(t)
logb(1)
0
4=5 (lin equation)
0 solutions
logb(B)
1
sin squared plus cos squared
1
x to the -n
1 divided by x to the n
x=5 (lin equation)
1 solution
sec
1/cos
sin
1/cos
cot
1/cot
tan
1/cot
cos
1/sin
csc
1/sin
velocity equals what when units are in feet
16
cos(2x)
2cos squared x minus 1
sin(2x)
2sin(x)cos(x)
tan(2x)
2tan(x)/ 1-tan^2(x)
velocity equals what when units are in meters
4.9
b^logb(A)
A
logb(B^A)
A
Interval notation
Bracket= definite, parentheses = indefinite
logb(A^C)
ClogbA
rational expression
a fraction where the numerator and denominator are polynomials
Standard Form of a Line
ax plus by equals c
standard form of quadratic equation
ax^2 + bx +c = 0
cos(a + b)
cos(A)cos(B) + sin(a)sin(b)
cot(x) =
cos/sin
1 plus cot squared
csc squared
distance formula
d squared= delta x squared plus delta y squared
k equals
f(h)
Rational Function Formula
f(x)=a/b(x-h) +k
if dividing an inequality by a negative number
flip the sign
5=5 (lin equation)
infinite solutions
f(x + or - b)
left/right
if slopes are equal
lines are parallel
if slopes are opposite reciprocals
lines are perpendicular
a^b=c
log base a C = b
logbA + logbC
logb(A x C)
logbA - logbC
logb(A/C)
logb(A x C)
logbA + logbC
logb(A/C)
logbA - logbC
an increase in b
moves function inward
an increase in h
moves function left/right
an increase in a
moves function outward
a change in k
moves function up/down
x to the 1/n
n root x
x to zero
one
cos (x/2)
plus or minus square root 1+cos(x)/2
sin (x/2)
plus or minus square root 1-cos(x)/2
-f(x)
reflects over x axis
f(-x)
reflects over y axis
if an object strikes the ground that means
s(t)=0
tan squared plus 1
sec squared
sin(a + b)
sin(a)cos(b) + cos(a)sin(b)
tan (x/2)
sin(x)/ 1-cos(x)
tan(x) =
sin/cos
tan(a +b)
tan(a) + tan(b)/ 1-tan(a)tan(b)
k equals
the constant of variation
the maximum of a negative quadratic is located at
the vertex
f(x) + or - b
up/down
Quadratic Formula
x equals -b plus or minus the square root of b squared minus four ac over 2a
(x/y) to the a
x to the a divided by x to the b
x to the a / x to the b
x to the a minus b
x to the a times x to the b
x to the a plus b
(xy) to the a
x to the a times x to the b
Two Point Formula
y-y1=(y2-y1)/(x2-x1) x (x-x1)
Point Slope Formula
y-y1=m(x-x1)
vertex form of a quadratic
y= a(x-h)^2 + k
the rule that generates a function is
y=f(x)
Slope Intercept Formula
y=mx+b