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Can someone help me graph this equation step by step
1.x^26x+8=0
 one year ago
 one year ago
Can someone help me graph this equation step by step 1.x^26x+8=0
 one year ago
 one year ago

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qpHalcy0nBest ResponseYou've already chosen the best response.1
First, do you know what basic shape that function makes?
 one year ago

xxdgffsdgdfgffgsgBest ResponseYou've already chosen the best response.0
dw:1364839464696:dw
 one year ago

qpHalcy0nBest ResponseYou've already chosen the best response.1
Right. So the vertex is the lowest (or highest) point on the graph. You can find the xcoordinate of the vertex using b/2a. Do you know what the a, b, and c terms are?
 one year ago

xxdgffsdgdfgffgsgBest ResponseYou've already chosen the best response.0
ok a =1 b=6 c=8
 one year ago

qpHalcy0nBest ResponseYou've already chosen the best response.1
Right, so b/2a is what?
 one year ago

xxdgffsdgdfgffgsgBest ResponseYou've already chosen the best response.0
the answer would be 3 after doing all the steps
 one year ago

qpHalcy0nBest ResponseYou've already chosen the best response.1
Well, it means that the vertex is at x=3. To find the corresponding "y" of the vertex, plug 3 in for "x" in the function there.
 one year ago

qpHalcy0nBest ResponseYou've already chosen the best response.1
Okay, so there's your vertex. You know the graph opens up because the quadratic (squared) term is positive. To find where it crosses the xaxis solve the equation for y = 0. It factors nicely: (x +/ ?)(x +/ ?)
 one year ago

xxdgffsdgdfgffgsgBest ResponseYou've already chosen the best response.0
so if x is positive it goes up if x is negative it goes down
 one year ago

qpHalcy0nBest ResponseYou've already chosen the best response.1
No, if x SQUARED is positive it goes up, (x^2)
 one year ago

qpHalcy0nBest ResponseYou've already chosen the best response.1
So how does that function factor. Anything multiply to give 8, but add to give 6?
 one year ago

xxdgffsdgdfgffgsgBest ResponseYou've already chosen the best response.0
4 and 2 both are negative
 one year ago

qpHalcy0nBest ResponseYou've already chosen the best response.1
Right, so (x  4)(x  2). Set each equal to 0 and solve. The solutions will be the xvalues where the parabola crosses the xaxis.
 one year ago

xxdgffsdgdfgffgsgBest ResponseYou've already chosen the best response.0
ok I understand now thanks for all your help
 one year ago

qpHalcy0nBest ResponseYou've already chosen the best response.1
Np, you get those and you have your graph.
 one year ago
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