Use the graph of f(x)=x^2 to match the function to its corresponding graph. In words describe transformation that occurs (ex: The graph of f(x) is shifted 6 units to the left).

f(x)=x^2
g(x) =(x-2): h(x) = x^2-2 :i(x) = (x+3)^2 :j(x)=(x+1)^2+ 3

a.f(x) = 2x^2-7 shift down 7 then f(x)=2(x-8)^2-7 shift 8 units to the right

Find the domain of the function and express the answer in interval notation. Explain or show calculations.

a)F(x)=4x2- 7x +3
b. g(x) = 10
x+7
c) f (x) =sqrt 4x-16
d) g(x) =2x/x-3
e) f (x)=3x- 9

Find the equation of the horizontal asymptote of the function: g(x) =5x^2 -4/x+1
Find the equations of both the vertical and horizontal asymptotes of the function: f(x) =3x-1/x+4