Text Complete the square, making the vertex coordinates explicit: (a) y=2x2+8xy=2x^2+8xy=2x2+8x (b) y=−x2+2x+3y=-x^2+2x+3y=−x2+2x+3 Solution (a) y=2(x2+4x)=2(x+2)2−8y=2(x^2+4x)=2(x+2)^2-8y=2(x2+4x)=2(x+2)2−8. Vertex V(−2;−8)V(-2;-8)V(−2;−8). (b) y=−(x2−2x)+3=−(x−1)2+4y=-(x^2-2x)+3=-(x-1)^2+4y=−(x2−2x)+3=−(x−1)2+4. Vertex V(1;4)V(1;4)V(1;4). Va(−2;−8),Vb(1;4)\boxed{V_a(-2;-8),\qquad V_b(1;4)}Va(−2;−8),Vb(1;4)