How do you find the vertex of #y= -x^2+ 4x + 2#? Algebra Quadratic Equations and Functions Vertex Form of a Quadratic Equation 1 Answer kubik98 Dec 27, 2017 #-(x-2)^2+6# Explanation: #−x^2+4x+2# #=>-1*[x^2-4x-2]# #=>-1*[(x^2-2*2x+2^2)-2^2-2]# #=>-1*[(x-2)^2-4-2]# #=>-1*[(x-2)^2-6]# #(-(x-2)^2+6)/# 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 1250 views around the world You can reuse this answer Creative Commons License