Mathematics

Question

The vertex of a parabola is (3,2). A second point on the parabola is (1,5). Which of the following points is also on the graph?

1 Answer

  • in vertex form the  parabola would be:-

    y = a(x - 3)^2 + 2   where a is some constant

    If you plug in the other point:- x = 1 and y = 5  you can find value of a:_

    5 =  4a + 2
    4a = 3
    a = 3/4

    so the equation is y = (3/4)(x - 3)^2 + 2
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