document.write( "Question 1045147: When the function y=h(x)=ax^2+bx+c is graphed in the x-y plane, the result is a parabola with vertex at (4,7). If h(2)=0, which of the following must also equal to 0?\r
\n" ); document.write( "\n" ); document.write( "a.)h(5)
\n" ); document.write( "b.) h(6)
\n" ); document.write( "c.) h(8)
\n" ); document.write( "d.) h)9)
\n" ); document.write( "

Algebra.Com's Answer #660570 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "When the function y=h(x)=ax^2+bx+c is graphed in the x-y plane, the result is a parabola with vertex at (4,7). If h(2)=0, which of the following must also equal to 0?\r
\n" ); document.write( "\n" ); document.write( "a.)h(5)
\n" ); document.write( "b.) h(6)
\n" ); document.write( "c.) h(8)
\n" ); document.write( "d.) h)9)
\n" ); document.write( "
\"y+=+h%28x%29+=+ax%5E2+%2B+bx+%2B+2\"
\n" ); document.write( "\"y+=+a%28x+-+h%29%5E2+%2B+k\" ------- Vertex form
\n" ); document.write( "\"0+=+a%282+-+4%29%5E2+%2B+7\" ------ Substituting 0 for y, 2 for x, 4 for h, and 7 for k
\n" ); document.write( "\"0+=+4a+%2B+7\"
\n" ); document.write( "- 7 = 4a_______\"%28-+7%29%2F4\" = a
\n" ); document.write( "Function: \"matrix%281%2C3%2C+y%2C+or%2C+h%28x%29+=+%28-+7%2F4%29%28x+-+4%29%5E2+%2B+7%29\" \r
\n" ); document.write( "\n" ); document.write( "Now, you can substitute each answer choice into the above function to see which one gives a value of 0, or you can easily look at the equation
\n" ); document.write( "and determine WHAT VALUE x can be replaced with, and when combined with - 4, and the result is squared, results in a value of 4. That MUST be 6.
\n" ); document.write( "Therefore, it must be \"highlight_green%28matrix%281%2C4%2C+h%286%29%2C+or%2C+CHOICE%2C+b%29%29\" \n" ); document.write( "
\n" );