What are the domain and range of the function:
y=(x-12)^2+11
Help please!

Question

What are the domain and range of the function: 
y=(x-12)^2+11
Help please!

swissgirl · Answer

Domain is anything its $\large \{x|x \epsilon R\} $ since we can plug in anything to our x. It goes on to positive and negative infinity

anonymous · Answer

How do you know that? Step by step please, its very confusing.

swissgirl · Answer

ok well lets draw it first. But when the equation is x+3
we can plug in anything for x
such as $ x=3 \to (3)+3=9$
we can make X anything I could plug in 10.88889 as x
$ (10.88889)+3=13.88889$

anonymous · Answer

Okay,

swissgirl · Answer

|dw:1348183264115:dw|

swissgirl · Answer

imagine this looked like a parabola

swissgirl · Answer

not such a great drawer

anonymous · Answer

I already drew the graph, I just don't really understand how to write the domain and range from it.

swissgirl · Answer

neways if you knew a lil bit about parabolas and its equations
the equation that you provided is in the form$ -a(x-h)^2+k$
if our a is positive which it is since its 1 in our case then our parabola will be a smile
if our a would be a negative then we would have a frown

swissgirl · Answer

|dw:1348183484332:dw|