Question

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

Collected in the board: Quadratic function

Steven Zheng posted 2 months ago


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)

Steven Zheng posted 2 months ago

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