What is the the vertex of #y = (x - 3)^2 + 5x-12 #? Algebra Quadratic Equations and Functions Quadratic Functions and Their Graphs 1 Answer 冠廷 李. Jun 22, 2016 #(1/2,-13/4)# Explanation: #y=(x-3)^2+5x-12# #y=x^2-6x+9+5x-12# #y=x^2-x-3# #y=x^2-x+1/4-3-1/4# #y=(x-1/2)^2-13/4# Vertex #(1/2,-13/4)# 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 1397 views around the world You can reuse this answer Creative Commons License