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QUESTION
What is the vertex form of the parabola whose standard form equation is ##y=5x^2-30x+49##?
The vertex is ##=(3,4)##
Let's rewrite the equation and complete the squares
##y=5x^2-30x+49= 5(x^2-6x)+49## ##=5(x^2-6x+9)+49-45## ##=5(x-3)^2+4##
graph{5x^2-30x+49 [-12.18, 13.14, -0.18, 12.47]}
