Question

How would I graph the Hyperbolas on a parent graph?
y=1/x+5

Answer 1

Do you mean \(y = \dfrac{1}{x}+ 5\) as you have written or did you mean \(y = \dfrac{1}{x+5}\)?

Answer 2

As I have written is what I meant! :)

Answer 3

Fine. A "Parent Graph" might be \(y = \dfrac{1}{x}\). Agreed?

Answer 4

Yes and now I'm suppose to move it 5 units up. Which is +5 But how would I go about graphing it since it is a fraction

Answer 5

Why does the fraction make graphing more difficult? Just make a table or get a calculator to do it. Just don't pick x = 0.

Answer 6

I don't understand how to graph this so yeah. Okay so if I don't pick x=0 I picked x=2
Then it'd be
Y=1/2+5 which I would then proceed to graph up 1/2 and over 5?

Answer 7

For y = 1/x

x y
1 1
2 1/2
3 1/3
4 1/4
-1 -1
-2 -1/2
-3 -1/3
-4 -1/4

For y = 1/x + 5

x y
1 1+5 = 6
2 1/2+5 = 11/2
3 1/3+5 = 16/3
4 1/4+5 = 21/4
-1 -1+5 = 4
-2 -1/2+5 = 9/2
-3 -1/3+5 = 14/3
-4 -1/4+5 = 19/4

Make sense?