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## forty-two Group Title The rational function has a y-intercept of 7. What is the equation for this function? one year ago one year ago

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1. forty-two

2. forty-two

@rebeccaskell94 can you help

3. rebeccaskell94

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

4. forty-two

Its okay thank you

5. Jonask

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

6. forty-two

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

7. Jonask

where p and q are vertical and horizontal asymptote

8. Jonask

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

9. Jonask

so what is their equation

10. Jonask

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

11. forty-two

x = -2 and y = 5

12. Jonask

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

13. Jonask

is that ok

14. forty-two

yes what next

15. forty-two

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

16. Jonask

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

17. forty-two

a = 4?

18. Jonask

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

19. forty-two

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

20. Jonask

yw