Question 356741
1) A parabola. It's a quadratic equation in a.
{{{graph(300,300,-10,2,-2,10,x^2+8x+16)}}}
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2){{{m= (y[2]-y[1])/(x[2]-x[1])=(3-0)/(1-5)}}}
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3){{{m= (y[2]-y[1])/(x[2]-x[1])=(2-3)/(4-1)}}}
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4) Yes, I, II, III, and IV
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{{{drawing(300,300,-10,10,-10,10,locate(5,5,I),locate(-5,5,II),locate(-5,-5,III),locate(5,-5,IV),graph(300,300,-10,10,-10,10,0))}}}
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5){{{x<0}}},{{{y>0}}}
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6) {{{6ab -8b=2b(3a-4)}}}
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7) {{{2x^3y^2 + 12xy=2xy(x^2y+12)}}}
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8) {{{(2x^2 + 4xy -4) - (x^2 -2xy -4)=(2x^2-x^2)+(4xy-2xy)+(-4-(-4))}}}
{{{(2x^2 + 4xy -4) - (x^2 -2xy -4)=(x^2)+(2xy)+(-4+4)}}}
{{{(2x^2 + 4xy -4) - (x^2 -2xy -4)=x^2+2xy}}}