What is the vertex of #y= 3x^2-9x+27 #? Algebra Quadratic Equations and Functions Quadratic Functions and Their Graphs 1 Answer Nghi N. Jan 18, 2016 #Vertex (3/2, 81/4)# Explanation: x-coordinate of vertex: #x = -b/(2a) = 9/6 = 3/2# y-coordinate of vertex: #y(3/2) = 3(9/4) - 9(3/2) + 27 = -27/4 + 108/4 = 81/4# #Vertex (3/2, 81/4)# 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 1152 views around the world You can reuse this answer Creative Commons License