How do you write #4x^2-12x+7# into vertex form? Algebra Quadratic Equations and Functions Vertex Form of a Quadratic Equation 1 Answer Alan P. May 3, 2015 In vertex form #y = m(x-a)^2+b# where #(a,b)# is the vertex of the quadratic. #y=4x^2-12x+7# #y = 4(x^2-3x)+7 " extract "m# #y=4(x^2-3x+(3/2)^2) -9+7 " complete the square"# #y=4(x-3/2)^2- (-2)# and the vertex is at #(3/2,-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 4942 views around the world You can reuse this answer Creative Commons License