Express the function y = 2x 2 + 8x + 1 in vertex form.

- Use the form a x ^2 + b x + c, to find the values of a, b, and c.

a = 2, b = - 8, c = 1

- Consider the vertex form of a parabola.

a (x + d) ^2 + e

- Find the value of d using the formula d = b / 2a.

d=-2

- Find the value of e using the formula e = c - b ^2 4 a.

e = - 7

- Substitute the values of a, d, and e into the vertex form a (x + d) 2 + e.

2 (x - 2) ^2 - 7

- Ouma