What is the axis of symmetry and vertex for the graph #y = x^2 – 3x + 4#? Algebra Quadratic Equations and Functions Quadratic Functions and Their Graphs 1 Answer Binayaka C. Jul 21, 2016 Vertex is at #(3/2,7/4)# and axis of symmetry is #x=3/2# Explanation: #y=x^2-3x+4 or (x-3/2)^2 +4-9/4 or (x-3/2)^2 +7/4 :.#Vertex is at #(3/2,7/4)# and axis of symmetry is #x=3/2# graph{x^2-3x+4 [-10, 10, -5, 5]}[Ans] 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 3103 views around the world You can reuse this answer Creative Commons License