What is the equation of the axis of symmetry for the graph of #f(x) = -3x^2 - 6x + 4#? Algebra Quadratic Equations and Functions Quadratic Functions and Their Graphs 1 Answer Dean R. Apr 23, 2018 Completing the square, #f(x) = -3x^2 - 6x +4 = -3(x^2 + 2x) + 4 = -3(x^2 + 2x +1) +3 + 4 = -3(x + 1)^2 +7,# so the axis of symmetry is #x=-1# and the vertex #(-1,7)#. 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 1947 views around the world You can reuse this answer Creative Commons License