Determine the axis of symmetry of the graph of the following parabola. f(x)=3(x−5)2+1 Give your answer in the form x=h.

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The axis of symmetry of the parabola, having the equation, f(x) = 3·(x - 5)² + 1 is the line x = h = 5What is a parabola?A parabola is the locus of a point that moves such that the distance of the point from a fixed point is the same as the distance of the moving point from a fixed line.The graph of a parabola has the shape of an open umbrellaThe given equation for the parabola is; f(x) = 3·(x - 5)² + 1The equation is given in the vertex form, f(x) = a·(x - h)² + k, where;(h, k) = The vertex of the parabolaThe axis of symmetry of a parabola, which is the line that divides the parabola in two, passes through the vertex of the parabolaComparing the equation, f(x) = 3·(x - 5)² + 1, to the vertex form of a parabola,  gives;a = 3(h, k) = (5, 1) (The vertex of the parabola)Which gives; h = 5 The equation of the axis of symmetry is therefore the line, x = h = 5Learn more about the graph of a parabola here:https://brainly.com/question/13689880#SPJ1