What is the vertex of #y=(x-1) (x-2)+3x#? Algebra Quadratic Equations and Functions Quadratic Functions and Their Graphs 1 Answer Ratnaker Mehta Mar 2, 2018 # (0,2)#. Explanation: Simplifying #y=(x-1)(x-2)+3x=(x^2-3x+2)+3x#, we get, #y=x^2+2, or, (y-2)=(x-0)^2#, showing that the vertex is #(0,2)#. Answer link Related questions What are the important features of the graphs of quadratic functions? What do quadratic function graphs look like? How do you find the x intercepts of a quadratic function? How do you determine the vertex and direction when given a quadratic function? How do you determine the range of a quadratic function? What is the domain of quadratic functions? How do you find the maximum or minimum of quadratic functions? How do you graph #y=x^2-2x+3#? How do you know if #y=16-4x^2# opens up or down? How do you find the x-coordinate of the vertex for the graph #4x^2+16x+12=0#? See all questions in Quadratic Functions and Their Graphs Impact of this question 1332 views around the world You can reuse this answer Creative Commons License