wouldn't this be differentiation? use the power rule which should give y=2x+5 then sub in your x value which is 1 which gives you the gradient of the tangent (7)
then substitute x=1 into the original equation to find the y intercept at x=1 which should be y=12 which gives you the point where the tangent touches the parabola (1,12)
then use point slope form y-y1=m(x-x1) and sub in your values
y-12=7(x-1)
y-12=7x-7
y=12+7x-7
y=7x+5
which is the equation of the tangent to the curve
and the normal is just perpendicular to that which should be y=-1/7x+5
sorry if my explanation is unclear but i checked in desmos and it looks right