document.write( "Question 176630: If the function G(x) = (x - 8)2 + 6 has the same shape as F(x) = x2 + 6, how far to the right of F(x) is G(x) shifted? \n" ); document.write( "

Algebra.Com's Answer #131706 by gonzo(654) $\"\"$ $\"About$

You can put this solution on YOUR website!
i presume you mean $\"%28x-8%29%5E2\"$ and $\"x%5E2\"$
\n" ); document.write( " $\"f%28x%29+=+x%5E2+-+6\"$
\n" ); document.write( " $\"g%28x%29+=+%28x-8%29%5E2+-+6\"$
\n" ); document.write( "---
\n" ); document.write( "when x = 0, g(x) = (-8)^2 - 6 = 64 - 6 = 58
\n" ); document.write( "when x = 0, f(x) = (0 - 6 = -6
\n" ); document.write( "when f(x) = -6, x = 0
\n" ); document.write( "when g(x) = -6, x = 8
\n" ); document.write( "---
\n" ); document.write( "one of the general forms of quadratic equation is:
\n" ); document.write( " $\"f%28x%29+=+a%28x+-+h%29%5E2+%2B+k\"$
\n" ); document.write( "or
\n" ); document.write( " $\"g%28x%29+=+a%28x+-+h%29%5E2+%2B+k\"$
\n" ); document.write( "where (h,k) is the vertex which is the turning point of the equation.
\n" ); document.write( "with f(x), h was 0 and k was -6
\n" ); document.write( "with g(x), h was 8 and k was -6
\n" ); document.write( "looks like g(x) was shifted 8 units to the right.
\n" ); document.write( "graph of both equations follows:
\n" ); document.write( "f(x) is -6 when x = 0
\n" ); document.write( "g(x) is 58 when x = 0
\n" ); document.write( "---
\n" ); document.write( " $\"graph%28800%2C400%2C-5%2C15%2C-10%2C100%2C%28x-8%29%5E2-6%2Cx%5E2-6%29\"$
\n" ); document.write( " \n" ); document.write( "

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