Answer:
See below
Step-by-step explanation:
Convert equation to vertex form [tex]y=(x-h)^2+k[/tex] by completing the square:
[tex]y=x^2+2x-4[/tex]
[tex]y+5=x^2+2x-4+5[/tex]
[tex]y+5=x^2+2x+1[/tex]
[tex]y+5=(x+1)^2[/tex]
[tex]y=(x+1)^2-5[/tex]
Vertex:
[tex](h,k)\rightarrow(-1,-5)[/tex]
Directrix:
[tex]y=k-\frac{1}{4a}\rightarrow y=-5-\frac{1}{4(1)}\rightarrow y=-\frac{21}{4}[/tex]
