## anonymous 3 years ago The rational function has a y-intercept of 7. What is the equation for this function?

1. anonymous

2. anonymous

3. anonymous

I don't think I'd be your best option for getting help, sorry :c

4. anonymous

Its okay thank you

5. anonymous

f(0)=7 the function is a hyperbola of form$f(x)=\frac{a}{x-p}+q$

6. anonymous

Im not really sure what you mean by that @Jonask could you walk me through it

7. anonymous

where p and q are vertical and horizontal asymptote

8. anonymous

the green line and the blue line are your asymptotes 'lines that the graph can never touch'

9. anonymous

so what is their equation

10. anonymous

i mean what is the equation of the green and the blue line

11. anonymous

x = -2 and y = 5

12. anonymous

yes you got it so this values are your p and q so i can write x=p=-2 y=q=5

13. anonymous

is that ok

14. anonymous

yes what next

15. anonymous

so f(x) = a/(x+2) +5

16. anonymous

yes you are on the right track now find a by plucking in any point on the graph

17. anonymous

a = 4?

18. anonymous

yes and then you are done just put a back in the fuction f(x) = a/(x+2) +5

19. anonymous

so f(x) = 4/(x+2)+5 thank you!

20. anonymous

yw