What is the range of the graph of y = (x – 4)^2 + 3? y 4 y 3 y

Question

What is the range of the graph of y = (x – 4)^2 + 3? y < 4 y >4 y >3 y <3 They have lines under them

anonymous · Answer

I think it's 4 but I don't know which one HELP anyone  Please

anonymous · Answer

I don't understand this question!!

jim_thompson5910 · Answer

Hint: In general, the range of $$\Large y = a(x-h)^2 + k$$ is $$\Large y \ge k$$

anonymous · Answer

first of all "range" is a range of numbers, not one number

jim_thompson5910 · Answer

if 'a' is greater than 0

anonymous · Answer

so it's y>4

jim_thompson5910 · Answer

What is the value of k in this case?

anonymous · Answer

4

jim_thompson5910 · Answer

no, that's the value of h

jim_thompson5910 · Answer

Use $$\Large y = a(x-h)^2 + k$$  as your template

anonymous · Answer

3

jim_thompson5910 · Answer

yes

jim_thompson5910 · Answer

since a > 0, we know that the range is then $$\Large y \ge 3$$

jim_thompson5910 · Answer

since in general the range is $$\Large y \ge k$$ when a > 0

anonymous · Answer

Really I thought it was 4

jim_thompson5910 · Answer

nope, definitely not 4

anonymous · Answer

okay thannks for your help

jim_thompson5910 · Answer

np

anonymous · Answer

i have a question
do you know what "range" means?
if so, then this is straightforward
if not it is probably very confusing

anonymous · Answer

jim_thompson5910 · Answer

that's where the min value occurs

jim_thompson5910 · Answer

that doesn't say anything about the range

jim_thompson5910 · Answer

if you do this instead http://www.wolframalpha.com/input/?i=range+y+%3D+%28x+%E2%80%93+4%29^2+%2B+3 you'll get what you're looking for But it's always good to know how to do this without a calculator

anonymous · Answer

ohh okay i feell stupid!!

jim_thompson5910 · Answer

happens all the time, so no worries