How do you write #f(x)= -2x^2+6x+2# in vertex form? Algebra Quadratic Equations and Functions Vertex Form of a Quadratic Equation 1 Answer Raiyan · Dec 30, 2017 #- 2 ( x - 3/2 )^2 + 13/2# Explanation: #- 2x^2 + 6x + 2# #= - 2 (x^2 - 3x) + 2# #= - 2 (x^2 - 2 * 3/2 * x + (3/2)^2 - (3/2)^2) + 2# #= - 2 (x -3/2)^2 + 2 + 9/2# #= - 2 (x - 3/2)^2 + 13/2# Answer link Related questions What is the Vertex Form of a Quadratic Equation? How do you find the vertex form of a quadratic equation? How do you graph quadratic equations written in vertex form? How do you write #y+1=-2x^2-x# in the vertex form? How do you write the quadratic equation given #a=-2# and the vertex #(-5, 0)#? What is the quadratic equation containing (5, 2) and vertex (1, –2)? How do you find the vertex, x-intercept, y-intercept, and graph the equation #y=-4x^2+20x-24#? How do you write #y=9x^2+3x-10# in vertex form? What is the vertex of #y=-1/2(x-4)^2-7#? What is the vertex form of #y=x^2-6x+6#? See all questions in Vertex Form of a Quadratic Equation Impact of this question 2304 views around the world You can reuse this answer Creative Commons License