document.write( "Question 172427: tutors i need help with alg 2 i have a 72 in the class because i couple bad test scores and my teacher gave us the questions from the test so can you please help me
\n" ); document.write( "i need to know how to find the intercept , find the vertex and graph it in t chart form every time i do the chart it doesnt look right
\n" ); document.write( "the problem is y=2(x+4)(x+2)
\n" ); document.write( "

Algebra.Com's Answer #127327 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
\"y+=+2%28x%2B4%29%28x%2B2%29\" To find the x-intercepts, set y equal to zero.
\n" ); document.write( "\"2%28x%2B4%29%28x%2B2%29+=+0\" so...
\n" ); document.write( "\"%28x%2B4%29%28x%2B2%29+=+0\", therefore, the x-intercepts are...
\n" ); document.write( "\"x+=+-4\" and \"x+=+-2\"
\n" ); document.write( "The x-coordinate of the vertex is found by:
\n" ); document.write( "\"x+=+-b%2F2a\" Expand the given equation by multiplying the factors:
\n" ); document.write( "\"y+=+2%28x%5E2%2B6x%2B8%29\"
\n" ); document.write( "\"y+=+2x%5E2%2B12x%2B16\" so a = 2 and b = 12, then,
\n" ); document.write( "\"x+=+-b%2F2a\" = \"-12%2F2%282%29+=+-3\" Substitute into the original equation to find the y-coordinate.
\n" ); document.write( "\"y+=+2%28-3%2B4%29%28-3%2B2%29\"
\n" ); document.write( "\"y+=+2%281%29%28-1%29\"
\n" ); document.write( "\"y+=+-2\"
\n" ); document.write( "The vertex is at (-3, -2)
\n" ); document.write( "\"graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C2x%5E2%2B12x%2B16%29\"
\n" ); document.write( "
\n" );