Answer: Vertex is (-2, -9)
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Step-by-step explanation:
The vertex of the parabola is always located on the axis of symmetry. This indicates that the x coordinate of the vertex is x = -2.
Plug x = -2 into the function to find the y coordinate of the vertex.
f(x) = x^2 + 4x - 5
f(-2) = (-2)^2 + 4(-2) - 5
f(-2) = 4 - 8 - 5
f(-2) = -9
The vertex is (-2, -9)
Side note: The equation y = x^2+4x-5 in standard form converts to the vertex form of y = (x+2)^2 - 9