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!!!

Re: domain and range of function

a)When you shift left *a* units $\displaystyle f(x) =6(x+a)^2 + 6$

and when you shift right *a* units $\displaystyle f(x) =6(x-a)^2 + 6$

b) & c) trying draw the graph and see what you get....

Re: domain and range of function

Hint :

$\displaystyle g(x-3)=f(x)$

Re: domain and range of function

I bet we never hear from jonathonraxa again!