Question

What does the quadratic equation y=2x2 + 16x +26 look like when it is rewritten in the formy= a(x - p)2 + q?

Answer 1

Case: Quadratic equation

Method:

`y=2x^2+16x+26`

The required form is:

`y=a(x-p)^2+q`

Applying completing square,

`\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}`

Final answer:

`y=2(x+4)^2-6`

Hence comparing

p= -4

q= -6