document.write( "Question 59229: Given the following quadratic function: f(x) = x squared - 2x - 8,\r
\n" ); document.write( "\n" ); document.write( "(1) Rewrite the function in vertex form. Identify the vertex. \n" ); document.write( "

Algebra.Com's Answer #40608 by funmath(2933) $\"\"$ $\"About$

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Given the following quadratic function: f(x) = x ^2 - 2x - 8,\r
\n" ); document.write( "\n" ); document.write( "(1) Rewrite the function in vertex form. Identify the vertex.
\n" ); document.write( "Vertex form is: $\"highlight%28f%28x%29=a%28x-h%29%5E2%2Bk%29\"$ , where (h,k)=vertex.
\n" ); document.write( "We need to create a perfect square trinomial by adding and subtracting the same number, so you are really only adding 0.
\n" ); document.write( ":
\n" ); document.write( "f(x)=x^2-2x-8
\n" ); document.write( "f(x)=(x^2-2x+__)-___-8 Fill the blanks with (1/2(-2))^2=(-1)^2=1
\n" ); document.write( " $\"f%28x%29=%28x%5E2-2x%2B1%29-1-8\"$
\n" ); document.write( " $\"f%28x%29=%28x-1%29%5E2-9\"$
\n" ); document.write( "The vertex (h,k)=(1,-9)
\n" ); document.write( "Happy Calculating!!! \n" ); document.write( "

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