dy/dx = 2x + 5.

Normal at x = -3: m = -1/(-1) = 1. Point on normal is (-3, -8) (sub x = -3 to get y = -8). Get the equation of the line.

Tangent at x = 1: m = 7. Point on tangent is (1, 4) (sub x = 1 to get y = 4). Get the equation of the line.

Get the intersection of the two lines found above.