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Hi :) My advanced math homework is giving me trouble. I'm not sure how I'm supposed to find the rule of this parabola from a graph. Is there a chance I could get some help? Thanks :)
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To answer your question, you start by finding the peak of your parabola. This can be done because the table of values gives you two X coordinates for which Y is the same. With those two points you can find the peak by calculating the average of X and the average of Y which can be done with this formula ; ( (x1 + x2)/2 , (y2 + y1)/2 ). After this, you can isolate a from your parabola rule because you have h, k and a known point in your graphic.
If you want to know more about the parabola equation, you can check out this reference sheet :
I hope I answered your question correctly.
Keep up your hard work,