# SOLUTION: Let y=6x(squared)+13x+6.Use factorization to determine the x-intercepts.Find the y-intercepts and then sketch the graph

Algebra ->  Algebra  -> Quadratic Equations and Parabolas -> SOLUTION: Let y=6x(squared)+13x+6.Use factorization to determine the x-intercepts.Find the y-intercepts and then sketch the graph       Log On

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 Question 478401: Let y=6x(squared)+13x+6.Use factorization to determine the x-intercepts.Find the y-intercepts and then sketch the graph Found 2 solutions by lwsshak3, mananth:Answer by lwsshak3(6490)   (Show Source): You can put this solution on YOUR website!Let y=6x(squared)+13x+6.Use factorization to determine the x-intercepts.Find the y-intercepts and then sketch the graph. ** y=6x^2+13x+6 y-intercept, set x=0, then solve for y y=0+0+6=6 y-intercept=6 .. x-intercepts or zeros set y=0, then solve for x, by factoring in this case 0=6x^2+13x+6 (2x+3)((3x+2)=0 2x+3=0 2x=-3 x=-3/2 or 3x+2=0 3x=-2 x=-2/3 x-intercepts: -3/2 and -2/3 see the graph below as a visual check on the answers: .. Answer by mananth(12270)   (Show Source): You can put this solution on YOUR website!y=6x^2+13x+6 when x=0 y =6 (0,6) When y=0 , 6x^2+13x+6=0 6x^2+9x+4x+6=0 3x(2x+3)+2(2x+3)=0 (2x+3)(3x+2)=0 x=-3/2OR x=-2/3 (-3/2,0) and (-2/3,0) When x= 0.5 , y = 12.5 ( 0.5,14) when x=-0.5, y= 1) Calculate y for a few values of +/-x plot the points and you will get a graph as shown below m.ananth@hotmail.com