document.write( "Question 859424: Given the quadratic function f(x)= ax^2+bx+10 has a maximum point (2,18).
\n" ); document.write( "(a) Without using the differentiation method or drawing a graph, determine the values of a and b.
\n" ); document.write( "(b)Sketch the graph of the function f(x). Hence, find the range of f(x) for the domain 0 (< or =) x (< or =) 3 \n" ); document.write( "

Algebra.Com's Answer #517759 by Fombitz(32388) $\"\"$ $\"About$

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So you need to get to vertex form that looks like,
\n" ); document.write( " $\"ax%5E2%2Bbx%2B10=-c%28x-2%29%5E2%2B18\"$
\n" ); document.write( " $\"ax%5E2%2Bbx%2B10=-cx%5E2%2B4cx-4c%2B18\"$
\n" ); document.write( "Where
\n" ); document.write( " $\"a=-c\"$
\n" ); document.write( " $\"b=4c%5D%7D%7D%0D%0A%7B%7B%7B-4c%2B18=10\"$
\n" ); document.write( " $\"-4c=-8\"$
\n" ); document.write( " $\"c=2\"$
\n" ); document.write( "So then,
\n" ); document.write( " $\"b=4%282%29=8\"$
\n" ); document.write( " $\"a=-2\"$
\n" ); document.write( " $\"-2x%5E2%2B8x%2B10=-2%28x-2%29%5E2%2B18\"$
\n" ); document.write( " \n" ); document.write( "

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