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anonymous
 5 years ago
I need help please could someone try to help me on solving quadratic equations by graphing step by step w squared +6w +9=0
anonymous
 5 years ago
I need help please could someone try to help me on solving quadratic equations by graphing step by step w squared +6w +9=0

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0or atleast some help plz

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok to graph this you need to first find vertex (max or min) Vertex: every quadratic is in the form ax^2+bx+c the xvalue of vertex (known as line of symmetry) is b/2a For w^2+6w+9 our coefficients are a=1 b=6 c=9 > x = (6)/2(1) = 3 to get yvalue substitute 3 back into equation for w y = (3)^2 +6*(3) +9 = 9 18 +9 = 0 vertex = (3,0) plot this point on the graph To get more points pick w values to plug back in w = 0 > y = 0^2 + 6(0) +9 = 9 point = (0,9) plot this point on graph because quadratic graphs are symmetric then if we go over 3 from the vertex in the other direction, w = 6 y will also be 9 y = (6)^2 + (6)(6) +9 = 3636+9 = 9 plot the point(6,9) now draw a line connecting your points theres your graph Solving: so to solve w^2+6w+9 = 0 we see that y=0 which corresponds to the xaxis look on graph and find points where line is touching the xaxis you should notice only one point our vertex(3,0) so answer is 3
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