What is the vertex of #f(x)=x^2-2x-3#? Precalculus Linear and Quadratic Functions Graphing Quadratic Functions 1 Answer Bill K. Apr 12, 2015 You can complete the square like this: #f(x)=x^2-2x-3=x^2-2x+1-1-3=(x-1)^{2}-4# to see that the vertex is at the point #(x,y)=(1,-4)#. Answer link Related questions What is a quadratic function? What is the graph of a quadratic function? How do you graph a quadratic function? What are some mistakes students make when graphing quadratic functions? How do I use graph of a quadratic equation like #f(x) = x^2 + 2# to find #f(2)#? What is the graph of #f(x) = x^2#? What is the graph of #f(x) = -x^2#? What is the graph of #f(x) = 2x^2 - 3x + 7#? Can I find the equation of a quadratic function when only two of its points are known? What is the graph of #f(x)=x^2-4x#? See all questions in Graphing Quadratic Functions Impact of this question 6924 views around the world You can reuse this answer Creative Commons License