Respuesta :
Answer:
The coordinates of the vertex of parabola are (-2,-9).
Step-by-step explanation:
The given function is
[tex]f(x)=x^2+4x-5[/tex]
The vertex of a parabola lies on its axis of symmetry. Since the axis of symmetry is x=-2, tt means the x-coordinate of vertex is -2.
Let the vertex of parabola is (-2,y).
Substitute x=-2 in the given function to find the y-coordinate of vertex.
[tex]f(-2)=(-2)^2+4(-2)-5[/tex]
[tex]y=4-8-5[/tex]
[tex]y=-9[/tex]
Therefore the coordinates of the vertex of parabola are (-2,-9).