Answer
See graphs, $(-2,0), (-1.2,1.6)$
Work Step by Step
1. See graphs for $y=\sqrt {4-x^2}$ and $y=2x+4$
2. The two equations give $\sqrt {4-x^2}=2x+4$
or $4-x^2=4x^2+16x+16$ or $5x^2+16x+12=0$ or $(x+2)(5x+6)=0$, thus $x=-2, -1.2$
3. Use the above results with the 2nd equation to get the intersect(s) $(-2,0), (-1.2,1.6)$