# Vertex and point to vertex form equation

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Recall that a parabola is the graph representing a quadratic equation, which is standard form is as follows: y = ax2 + bx + c. where the value of 'a' Finding the quadratic function when vertex and a point are given. Given a vertex (1,-2) and a point (4,5) on a parabola, find the equation for such parabola. First, we recall a function f(x)=a(x-h)2+k, which will give us vertex (h,k). f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola. FYI: Different textbooks have different interpretations of the reference "standard form" of a quadratic function. 7 Aug 2013 21 Sep 2011 16 Apr 2012 In the vertex form of the quadratic, the fact that (h, k) is the vertex makes sense if you think And the lowest point on a positive quadratic is of course the vertex. through the given point. Vertex (-2, -2) Point (1, -20) Log On The vertex form of a parabola's equation is generally expressed as : y=+a%28x-h%29%5E2%

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