document.write( "Question 251606: what is the intercepts, axis of symmetry and vertex of y=3x^2+12x+16 \n" ); document.write( "

Algebra.Com's Answer #183311 by stanbon(75887) $\"\"$ $\"About$

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what is the intercepts, axis of symmetry and vertex of y=3x^2+12x+16
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\n" ); document.write( "y-intercept: Let x = 0, then y = 16
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\n" ); document.write( "x-intercepts:
\n" ); document.write( "Solve 3x^2+12x+16 = 0
\n" ); document.write( "x = [-12 +- sqrt(144 - 4*3*16)]/6
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\n" ); document.write( "x = [-12 +- sqrt(-48)]/6
\n" ); document.write( "Since the discriminant is negative there are no x-intercepts.
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\n" ); document.write( "Vertex occurs where x = -b/2a = -12/(2*3) = -2
\n" ); document.write( "f(-2) = 3(4)+12(-2)+16 = 28-24 = 4
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\n" ); document.write( "Vertex (-2,4)
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\n" ); document.write( "Axis of symmetry is x=-b/2a = -2
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\n" ); document.write( " $\"graph%28400%2C300%2C-10%2C10%2C-10%2C20%2C3x%5E2+%2B+12x%2B16%29\"$
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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