document.write( "Question 825023: Please find the standard form/vertex form, vertex, x-intercept and y-intercept, and the graph of this function h(x)= -4x^2-8x+3 \n" ); document.write( "

Algebra.Com's Answer #496942 by josgarithmetic(39617) $\"\"$ $\"About$

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This relies on Completing the Square. This kind of question happens often.\r
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\n" ); document.write( "\n" ); document.write( "Factor the -4 from the entire right-hand expression:
\n" ); document.write( " $\"h%28x%29=-4%28x%5E2%2B2x-3%2F4%29\"$
\n" ); document.write( "The terms containing x in the quadratic expression in the parentheses represents a square with the area $\"%282%2F2%29%5E2=1\"$ missing. We ADD and SUBTRACT this inside the parentheses.
\n" ); document.write( " $\"h%28x%29=-4%28x%5E2%2B2x%2B1-3%2F4-1%29\"$ ;
\n" ); document.write( " $\"h%28x%29=-4%28%28x%2B1%29%5E2-3%2F4-1%29\"$
\n" ); document.write( " $\"h%28x%29=-4%28%28x%2B1%29%5E2-7%2F4%29\"$
\n" ); document.write( "Remultiply the -4:
\n" ); document.write( " $\"highlight%28h%28x%29=-4%28x%2B1%29%5E2-7%29\"$ \n" ); document.write( "

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