Question

Write the quadratic function f(x) = x2 - 5x + 3 in vertex form.

Answer 1

Attached is the format for the Vertex form of a Quadratic.

Source: http://www.mathwarehouse.com/geometry/parabola/standard-and-vertex-form.php

Answer 2

Complete the Square:

x^2 - 5x + 3 =

x^2 - 5x + (-5/2)^2 + 3 - (-5/2)^2

Answer 3

x^2 - 5x + (-5/2)^2 + 3 - (-5/2)^2

[ ( x - 5/2) ( x - 5/2) ] + 3 - (25/4)

Answer 4

[ ( x - 5/2) ( x - 5/2) ] + 3 - (25/4) =

( x - 5/2 ) ^ 2 + 3 - 6.25 =

( x - 5/2 ) ^ 2 - 3.25

Answer 5

or,

y = ( x - 2.25 ) ^ 2 - 3.25

@slevine

In vertex form, the x-coordinate of the vertex is easy to see --> 2.25.
The same holds for the y-coordinate of the vertex --> - 3.25

Answer 6

And, now something cool.

Answer 7

See the calculator at:
http://tinyurl.com/6p8no9r