rewriting a quadratic function to find the vertex of its graph

Algebra
Tutor: None Selected Time limit: 1 Day

write the quadratic function in form g(x)=9(x-h)²+k then give the vertex of it's graph g(x)=-2x²+4x-4
Oct 9th, 2015

Hi there! Thank you for the opportunity to help you with your question!

We need to complete the square in order to write g(x) in vertex form:

g(x) = -2( x^2 - 2 x + 2)

= -2( (x-1)^2 +1)

= -2(x-1)^2 -2

And the vertex is at the point (h,k) in this case, (1,-2)

Please let me know if you need any clarification. Always glad to help!
Oct 9th, 2015

g(x) = -2( x^2 - 2 x + 2) so this is the quadratic function in form

Oct 9th, 2015

g(x) = -2(x-1)^2 -2  is the equation in vertex form

Oct 9th, 2015

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Oct 9th, 2015
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Oct 9th, 2015
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