The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the graph?

Respuesta :

The vertex is (-2, -9)

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).

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