Question

Write the quadratic function f(x) = x2 + 8x + 3 in vertex form.

Answer 1

$f(x) =x^{2} +8x+3 \\ f(x) =a(x-p)^{2} +q =(x+4)^{2}-13 \\ a=1 \\ p= \frac{-b}{a} =- \frac{8}{2} =-4 \\ q=f(p) =f(-4)=(-4)^{2} +8 \cdot (-4)+3=16-32+3=-13$

Answer 2

Answer and workings can be found in the attachment below...