Write the quadratic function $$f(x) =-2x^2 -8x - 10$$ in its vertex form and find the vertex of the parabola.

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Write the quadratic function  $$f(x) =-2x^2 -8x - 10$$ in its vertex form and find the vertex of the parabola.

Uniteasy Admin · Accepted Answer

A quadratic function can be expressed in the form of 
$$ f(x) = a(x - h)2 + k$$, 
in which $$h$$ and $$k$$ represents the coordinate of the vertex of the graph of the quadratic function.
$$f(x) =-2x^2 -8x - 10$$ 
$$=-2(x^2+4x+4)-2$$
$$=-2[x-(-2)]^2-2$$
Therefore,
The vertex of the parabola is (-2,-2)

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