parametric question (1 Viewer)

[blakwidow]

Find the eqn of the parabola, with vertex at the origin, the x-axis vertical and the line x + y + 2 = 0 is a tangent to it

Show working please

 

[pLuvia]

Use the general formula of a parabola
x²=4ay or y²=4ax

Since it states that the y axis is a tangent then it must mean that the parabola is sideways hence
y²=4ax

Now you are told that x+y+2=0 is a tangent, sub that into your general equation of a parabola then since it only touches the parabola at one point the discriminant equals to 0 then solve for a, and voila