Question

Write the quadratic function in vertex form.

y = x2 - 2x + 5

y = (x + 1)2 - 4
y = (x - 1)2 - 4
y = (x + 1)2 + 4
y = (x - 1)2 + 4

Answer 1

I think the answer would look something like this Y-4=(x-1)^2

Answer 2

The answer to your question is y = (x - 1)² + 4

Explanation:

y = x² - 2x + 5

Complete perfect square trinomial

y - 5 = x² - 2x

y - 5 + ( )² = x² - 2x + ( )²

y - 5 + (1)² = x² - 2x + (1)²

y - 5 + 1 = x² - 2x + 1

Factor and simplify y - 4 = (x - 1)²

y = (x - 2)² + 4