Which equation is y = (x + 3)2 + (x + 4)2 rewritten in vertex form?

The vertex form of the provided equation  y = (x 3)2 (x 4)2 is expressed as  (x+3.5)²+0.5.What is the vertex form of parabola?Vertex form of parabola is the equation form of quadratic equation, which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.The standard equation of the vertex form of parabola is given as,y=a(x-h)^2+kHere, (h, k) is the vertex point.The given equation is [tex]y = (x +3)^2 +(x+ 4)^2\\y=x^2+9+6x+x^2+16+8x\\y=2x^2+14x+25[/tex]To convert this equation, into the vertex form, follow the following steps,[tex]y=2(x^2+7x+12.5)\\y=2((x+3.5)^2-12.25+12.5)\\y=(x+3.5)^2+0.5[/tex]Thus, the vertex form of the provided equation  y = (x 3)2 (x 4)2 is expressed as  (x+3.5)²+0.5.Learn more about the vertex form of the parabola here;