SOLUTION: please help me make this into standard form and show it in a graph with roots. {{{ 3x^2+x=-4x+5 }}}

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Question 871053: please help me make this into standard form and show it in a graph with roots.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39615)   (Show Source): You can put this solution on YOUR website!
Simplify first.
. The function would be something general as . The term to complete the square is (5/2)^2, which you should ..... Not that.... but better, this...

. Now, using this might be better. The term to complete the square is .






. STANDARD FORM.

The vertex is a minimum, at (-5/6, 35/12). The roots will be found simply solving y=0. This is partly done already because the equation is now in standard form.
Answer by MathTherapy(10551)   (Show Source): You can put this solution on YOUR website!

please help me make this into standard form and show it in a graph with roots. 








Standard form of parabolic equation: 

I'll graph the equation later, showing roots 

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