Algebra
posted by Erin .
I have to find the vertex, axis of symmetry, and x intercepts of x^2x+(5/4). I put it in standard form as (x+.5)^2+1.5. Thus, the vertex would be .5, 1.5. But the book's answer is 1/2, 1. How did they get this?

You got the standard form wrong.
x^2  x + (5/4) = (x  1/2)^2 + 1
The minimum (vertex) is at x = 1/2, and the value of y there is 1. 
Where did the 1 come from in the standard form come from? How did the 5/4 become 1 when it was transferred to outside of the parentheses?