# domain and range of function

• May 8th 2012, 09:52 PM
jonathanraxa
domain and range of function
Assume that 'f' is the function defined on the interval [1,2] by the formula f(x) = 6x^2 + 6. Thus the domain of 'f' is the interval [1,2], the range of 'f' is the interval [12,30]. The graph of 'g' is obtained by shifting the graph of 'f' left 3 units.

a)Give a formula for 'g'
b)Find the domain of 'g'
c)Find the range of 'g'

Thank you!!!
• May 8th 2012, 10:57 PM
Goku
Re: domain and range of function
a)When you shift left a units $f(x) =6(x+a)^2 + 6$
and when you shift right a units $f(x) =6(x-a)^2 + 6$

b) & c) trying draw the graph and see what you get....
• May 8th 2012, 11:02 PM
princeps
Re: domain and range of function
Hint :

$g(x-3)=f(x)$
• May 9th 2012, 10:35 AM
HallsofIvy
Re: domain and range of function
I bet we never hear from jonathonraxa again!