Question

What is the range of f(x)=(x+4)^2+7?

Can you show me how to get the answer?

Answer 1

what is the range of x^2?

Answer 2

the range is the possible values that f(x) can take.

graphing it is one way of understanding it. you can also plug in strategic values of x

Answer 3

do you have a mental picture of what the graph should look like, in other words do you know what x^2 graphs?

Answer 4

think about x^2 that has range [0,infinty)
(x+a)^2 only moves it left and right thus same range
(x+a)^2+b moves it up b or down b (depending on b)
so (x+a)^2+b has range [b,infinity)