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1. By direct evaluation we conclude that the point (x, y) = (1, – 2) lies on the graph of the quadratic equation h(x) = – 2 · x². (Correct choice: C)

   What ordered pair lies on the curve generated by a given function?

   In this problem we have three ordered pairs to be checked on a given function by direct evaluation, a ordered pair lines on the curve of function if and only if the x-value of the ordered pair leads to the y-value by evaluating in the function. Now we proceed to evaluate each of the three points at the function presented in the statement:

   (x, y) = (1, 4)

   h(1) = – 2 · 1²

   h(1) = – 2

   By direct evaluation we conclude that the point (x, y) = (1, – 2) lies on the graph of the quadratic equation h(x) = – 2 · x². (Correct choice: C)

   To learn more on quadratic equations: https://brainly.com/question/17177510

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