Finals

Question 1

Standard form equation of a circle

Answer 1

(X-h)^2 +(y-k)^2=r^2

Question 2

Distance formula

Answer 2

D the square root of (x1-x2)^2 + (y1-y2)^2

Question 3

Endpoints (a,b) , (c,d): midpoint

Answer 3

(a+c/2,b+d/2)

Question 4

Slope

Answer 4

(Y2-y1)/(x2-x1)

Question 5

Point slope form

Answer 5

Y-y1=m(x-x1)

Question 6

Slope-intercept form

Answer 6

Y=mx+b

Question 7

Perpendicular

Answer 7

M1=-1/m2

Question 8

Quadratic equation

Answer 8

Ax^2+bx +c=0

Question 9

Quadratic equation

Answer 9

(-b +or- the square root of b^2-4ac)

Divided by 2a

Question 10

Projectile motion formula

Answer 10

s=-16t^2+v0t+s0
v0=velocity
s0= initial height above ground
t=seconds after launch

Question 11

Inverse function

Answer 11

F^-1(b)=a if f(a)=b

Question 12

Linear function

Answer 12

F(x)=ax+b

Question 13

Vertex form vertex is (h,k)

Answer 13

F(x)=a(x-h)^2+k
where
H=-b/2a
And
K= c-ah^2

Question 14

Power function

Answer 14

F(x)=k(x^a)

Question 15

Remainder theorem

Answer 15

Polynomial f(x) is divided by x-k then
Remainder (r)
r=f(k)

Question 16

Finding all zeroes

Answer 16

Factors of c divided by factors a

Question 17

Exponential function is

Answer 17

f(x)=a (b^x)

Question 18

Logistic growth

Answer 18

f(x)=c/(1+(a(b^2)))

c is limit to growth

Question 19

Population growth

Answer 19

P(t)=P0(1+r)^t

Question 20

Half life

Answer 20

f(t)=P(1/2)^t/half life

Question 21

Log to ex

Answer 21

y=Log _b(x) if b^y=x

Question 22

Power rule

Answer 22

log_b R^c if clog_b R

Question 23

Interest compounded annually

Answer 23

A=P(1+r)^n
pe^rt is interest compound continually
p(1+(r/k) ^kt when interest compounds k times