write the equation after shifted 4 units right and 5 units down 3(x-1)+4
3(x-5)-1
100
write each of the following forms.
a)vertex form
b)factored form
a)y=a(x-h) ²+k
b)y=a(x-r1)(x-r2)
100
identify the following for y=(x+2)³+3
a)Point of intersect
b)domain
c)range
d)concave up
e)concave down
a)(-2,3)
b)ARN
c)ARN
d)(x>-2)
e)(x<-2)
100
sketch the following.
cubic polynomial fuction that has a positive leading coefficient and 2 roots
answers vary.
200
write the equation of a line going through (0,2)(-3,8) in slope intercept form
y=-2x+2
200
stae the following equations vertex, solve by using vertex form.
y=x ²+4x-5
(-2,-9)
200
write the function expressing area with the length of 12-2x and width of 10-2x
ax=(4x²-44x+120)in²
200
what is the absolute maximum?
the hightes point over entire domain
300
which describes the graph of y=a(x-h) ²+k when a is changed to -5
a)the graph gets wider
b)the graph gets narrower and reflects x axis
c)the graph gets wider and reflects x axis
b)the graph gets narrower and relfects x axis
300
solve using quadratic formula.
2x ²+7x=-5
x=-4/4-1 or x=-10/4=-5/2
300
simplify x/(x+2) - 3x-5/x²+3x+2
(x²-2x+5)/(x+1)(x+2)
300
what are the local maximum and local minimums.
the local maximums are the highes point of a section on the graph, while the local minimum is the lowest point of a section on a graph
400
describe the role in each variable in af(x-h)+k
a)when a>1
b)when 0
a)narrower
b)wider
c)opens up
d)opens down
e)shifts up a unit
f)shifts down a unit
400
determine the zeros of 3x ²+8x-3=0
x=-3 or x=1/3
400
simplify.
6x²+7x-3/6x²-2x * 4x²/4x²-9
2x/2(x-3)
400
construct a 8th degree polynomial with 3 real zeros