Math Homework

My calc homework confuses me, please help.

Question:
y= x^2
y= - x^2 + 2x - 5

Find the equations of two lines that are simultaneously tangent to both parabolas.

>>7
what? methinks you are trolling.

you got x = 1/2. slope = m = y'(1/2) = 1. then plug x into the two equations to get 2 y's, 1/4 and -21/4. then fill in the two point slope eqns to get the lines.

(1) y - 1/4 = 1 (x - 1/2)
y = x - 1/4

(2) y - (-21/4) = 1 (x - 1/2)
y = x - 23/4