1. ## Graphs

The equation of a curve is given as y = [(ax^2 + bx + c)/(x+d)], where a, b, c and d are constants. the equations of the asymptotes are x=2 and y= 3-2x.

i) Write down the value of d [I know that d = -2]
ii) Fidn the value of a and show that b = 7. [Do I have to express the given equation as partial fractions?]

iii) Given that the curve has a stationary point where x = 1, find the value of c and the x-coordinate of the other stationary point.

Thank you for your help!

2. Originally Posted by Tangera
The equation of a curve is given as y = [(ax^2 + bx + c)/(x+d)], where a, b, c and d are constants. the equations of the asymptotes are x=2 and y= 3-2x.

i) Write down the value of d [I know that d = -2]
ii) Fidn the value of a and show that b = 7. [Do I have to express the given equation as partial fractions?]

iii) Given that the curve has a stationary point where x = 1, find the value of c and the x-coordinate of the other stationary point.

Thank you for your help!
For ii) I would synthetically divide

For iii) take the derivative, set it equal to zero and use the other information to finally solve for c