Transformations
#2
Right 8
Domain: x>8
Range: y>0
#6
h(x)=sqrt(x+2)
#25
f+g(x)=3x^2+7x-8
#29
f^-1(x)=(x+7)/4
or
f^-1(x)=1/4x+7/4
#21
Vertical Compression
f(x) is steeper
#4
Left 2 down 8
Domain: x>-2
Range: y>-8
#8
p(x)=cuberoot(x-3)+8
#26
f+g(x)=4x^2-13x-2
#30
f^-1(x)=(x-5)/2
or
f^-1(x)=1/2x-5/2
#23
Vertical Stretch
g(x) is steeper
#10
Up 4
Domain: All reals
Range: All reals
#17
f(x)=cubert(x+6)-5
#27
f*g(x)=12x^2-23x+5
Find the inverse of f(x)=1/3x-5
f^-1(x)=3x+15
#22
Horizontal compression
g(x) is steeper
#12
Left 1.5, down 2.5
Domain: All reals
Range: All reals
#18
f(x)=sqrt(x-5)
#28
f*g(x)=x^3-2x^2-13x+20
#32
f^-1(x)=sqrt(x)/6
#19
Domain: All reals
Range: y>0
*New function: f(x)=(x-1)^2
#15
Domain All reals
Range: Y > 4
f(x)-->positive infinity
f(x) --> 4
#20
Domain: All reals
Range: y>-2
*New fucntion: f(x)=(x+3)^2-2
#33
B and C
#31
f^-1(x)=sqrt((x+8)/3)
#34
Domain: 0<x<15
Range: 0<y<675