rewriting a quadratic function to find the vertex of its graph

Algebra
Tutor: None Selected Time limit: 1 Day

Write quadratic function in the form ;  f(x)=a(x-h)²+k

then give the vertex of it's graph

f(x)=3x²+18x+30

Oct 9th, 2015

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

f(x)=3x²+18x+30 = 3x² + 18x + 27 + 3  =3(x²+6x+ 9) + 3  =   3(x²+2*3*x+ 3²) + 3 = 3(x+3)² + 3

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The vertex and graph: 

The Answer.JPG 


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Oct 9th, 2015

can you write it in form specified  f(x)=

Oct 9th, 2015

what form please give me an example

Oct 9th, 2015

f(x)=a(x-h)²+k

Oct 9th, 2015

f(x)= 3x²+18x+30 = 3(x+3)² + 3 

so

f(x)=  3(x+3)² + 3 

Oct 9th, 2015

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