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Student Question

Secondary IV • 3mo.

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 :)

Mathematics

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Help Zone Pro • 3mo.

Hello SweetScorpion2559,

Thank you for using the help zone,

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 :