Find the equation of the tangent to the parabola `y=x^2-2x+3` at point (2, 3).

Find the equation of the tangent to the parabola x=y^2+3y+2 having slope 1.

Find the equation of tangents drawn to the parabola y=x^2-3x+2 from the point (1,-1)dot

Find the equation of the tangent at t =2 to the parabola y^(2) = 8x .

Find the equation of the tangent to the parabola y^2=8x having slope 2 and also find the point of contact.

Find the equations of the tangent: to the parabola y^(2)=16x , parallel to 3x-2y+5=0

Find the equations of the tangent and normal to the parabola y^(2)=8x at t=1/2

Find the equation of the directrix of the parabola x^2-4x-3y+10=0

Find the equations of the tangents: to the parabola 4x^(2)-y^(2)=64 which are parallel to 10x-3y+9=0 .

Find the equation of the tangent to the parabola 9x^2+12 x+18 y-14=0 which passes through the point (0, 1).