SOLUTION:
Case: Quadratic equation
Method:
[tex]y=2x^2+16x+26[/tex]The required form is:
[tex]y=a(x-p)^2+q[/tex]Applying completing square,
[tex]\begin{gathered} y=2x^{2}+16x+26 \\ y=2(x^2+8x+13) \\ y=2(x^2+8x+16-16+13) \\ y=2[(x+4)^2-3] \\ y=2(x+4)^2-6 \end{gathered}[/tex]Final answer:
[tex]y=2(x+4)^2-6[/tex]Hence comparing
p= -4
q= -6
