rewriting a quadratic function to find the vertex of its graph

User Generated

cgureevna

Mathematics

Description

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

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Explanation & Answer

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!


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