Re: Where do I go with this, help?

Dougsd1r wrote:
> 
> Here is the question
> 
> A parabola has equation: y = ax^2 + bx + c.
> 
> It p***** through the origin, and the tangent  at (1,0) on it makes an
> angle of 45 degrees with OX.
> Find the actual equation on the parabola
> 
> So far i have
> 
> Since the parabola p***** through the origin then c = 0
> 
> so the equation is just y = ax^2 + bx
> 
> Also the tangent of the line at (1,0) is 1 (since tan 45 = 1)

dy/dx = 2ax + b = 1 at x = 1, so
   
    1 = 2a + b

Also y = 0 at x = 1, so

    0 = a + b.

Find a and b.

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