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

Answer:

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

Step-by-step 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

Answer 2

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