Answer:
c=-1/4
Step-by-step explanation:
Y=2x+c=2(x+c/2), so m=2.
To be tangent we need to check y’ of parabola: y’=2x+3.
So for some x it must be 2x+3=2 (cause m=2). We have x=-1/2.
Now we use x=-1/2 to find y from 2nd equation (equation of parabole): we got y=1/4-3/2=-5/4.
So tangent has point (-1/2,-5/4).
Put that point in firts equation (equation of line): -5/4=-1+c,
so we have c=-1/4.
