You should have an idea what y = 1/x looks like,
y = 1/(x+6) simply shifts the y = 1/x six units to the left.
the 5 instead of the 1 means that the y value is 5 times as great, so it rises faster or there is a vertical stretch by a factor of 5
e.g. the point (1,1) on y = 1/x becomes (1, -1/7) after y = 1/(x+6) and then (1, -5/7) under y = 5/(x+6)
here is a picture:
http://www.wolframalpha.com/input/?i=plot+y%3D1%2Fx+and+y%3D5%2F(x%2B6)
1. How do the graphs of y=1/x and y=5/(x+6) compare?
I need steps because I want to be able to do these type of problems. Thank you!
3 answers
question 1 find the y intercept of 7
y=a/(x-k) +k
7=a/(x-k) +k
7=a/(0-(-2))+5
7-5=2
2=a/2
a=4
y=4/x+2 +5
question 2-
explain the variables and what variation
60/20=3 39/13=3 27/9=3 9/3=3
direct varation y=3x
question 3-
compare graphs
shifted to the left by 6 and streched vertical by 5
question 4-
jane is organizing a fundraiser to by a ping-pong table
t=table c=shares n=new people t=500 v=n+5 v=overall people
500=(20)+v 500/20=25 n=25-5=20
20 new people
quiz 1 answers (minus graph answers *use a graphing calulator)
suppose that x=6 and y=8 what is y when x=3
16
suppose that y varies diractly with x and is inversly with z y=18 x=15 z=5 what is y when x=21 z=7 y=6x/z=18
x^3+x^2-4x-4/x^2+2x-3 find points of discontinuity
x=-3 and x=1
holes + asptones of x^2+x-6/x^2-9
asp-x=3 holes x=-3
y=a/(x-k) +k
7=a/(x-k) +k
7=a/(0-(-2))+5
7-5=2
2=a/2
a=4
y=4/x+2 +5
question 2-
explain the variables and what variation
60/20=3 39/13=3 27/9=3 9/3=3
direct varation y=3x
question 3-
compare graphs
shifted to the left by 6 and streched vertical by 5
question 4-
jane is organizing a fundraiser to by a ping-pong table
t=table c=shares n=new people t=500 v=n+5 v=overall people
500=(20)+v 500/20=25 n=25-5=20
20 new people
quiz 1 answers (minus graph answers *use a graphing calulator)
suppose that x=6 and y=8 what is y when x=3
16
suppose that y varies diractly with x and is inversly with z y=18 x=15 z=5 what is y when x=21 z=7 y=6x/z=18
x^3+x^2-4x-4/x^2+2x-3 find points of discontinuity
x=-3 and x=1
holes + asptones of x^2+x-6/x^2-9
asp-x=3 holes x=-3
find horizontal asp of y=3x^6-7+10/8x^5+9x+10
none
amount used by a ship, uses 30 barrels of oil traveling 42mi/h 85 mils travel 26 mils how many oil will the ship use 54mi/h
15.2
yearbook committee 2/220 5/88 8/55 11/40
440
mix 5% diy 20% diy to make 12% diy y=100(0.5)+x(0.2)/100+x
87.5ml
none
amount used by a ship, uses 30 barrels of oil traveling 42mi/h 85 mils travel 26 mils how many oil will the ship use 54mi/h
15.2
yearbook committee 2/220 5/88 8/55 11/40
440
mix 5% diy 20% diy to make 12% diy y=100(0.5)+x(0.2)/100+x
87.5ml