Question

For the function y=2x^2 + 4x +1,

what are the coordinates of the vertex?
Is it a maximum or minimum point?
Show all work algebraically.

Answer 1

(-1,-1)

Explanation:

Answer 2

Vertex: (-1,-1)

Minimum

Explanation:

y = 2x² + 4x + 1

y = 2(x² + 2x + 1 - 1) + 1

y = 2(x + 1)² - 2 + 1

y = 2(x + 1)² - 1

Vertex: (-1,-1)

Minimum