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07-01-2016
Mathematics

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What is the axis of symmetry for f(x) = −5x2 − 20x − 10?

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Since3122015 Since3122015

07-01-2016

This graph is a parabola. Therefore, the point of symmetry occurs at the x where f'(x)=0. From this we can find the axis of symmetry:

[tex]f(x)=-5x^2-20x-10\\f'(x)=-10x-20=0\\-10(x+2)=0\\x+2=0\\x=-2[/tex]

The axis of symmetry is x = 2.

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