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Can someone explain how to graph quadratics

 

Im pretty confused

 

Or worse: how to solve for coefficients given the graph

 Mar 9, 2021
edited by jxc516  Mar 9, 2021
 #1
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Hello jxc! You know me (flec from aops)

Graphing quadratics can actually be very simple.

Let's use an example.

\(y=x^2+6x+9\)

We plug in y as 0 to get the x-intercepts


Now for the vertex.

Vertex form is y = a(x – h)2 + k, where (h,k) is the vertex.

We rearrange \(y=x^2+6x+9\) to get it in this form, and we get the vertex.

 

Plot the vertex and two x-intercepts and you will get your parabola!

 Mar 9, 2021
 #2
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omighty flec jk

 

Thank you!

jxc516  Mar 9, 2021
 #3
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yw :)

Let me know if you need more

 

and no stop omightying me >:(

CalTheGreat  Mar 9, 2021

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