## forty-two 2 years ago The rational function has a y-intercept of 7. What is the equation for this function?

1. forty-two

2. forty-two

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

4. forty-two

Its okay thank you

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

where p and q are vertical and horizontal asymptote

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

so what is their equation

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

11. forty-two

x = -2 and y = 5

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

is that ok

14. forty-two

yes what next

15. forty-two

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

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

17. forty-two

a = 4?

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!