Book Maths Puzzle Co-ordinate geometry

How do I find a parabola that passes through the points: (2,-3),(-2,9), and (1,3/2)?

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Book Other Question

What is the square of (6a - 4b) I am looking at how to solve 1/a + 1/b = 37/180
Can you explain this to me or tell me where to go to learn how to do this?
Thank you,
Nancy