SOLUTION: how to write this equation in standard form: y= (x-2)^2 -1

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: how to write this equation in standard form: y= (x-2)^2 -1      Log On


   

Question 174603: how to write this equation in standard form:
y= (x-2)^2 -1
Found 2 solutions by Mathtut, nerdybill:
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
y=%28x-2%29%5E2-1given (vertex form)
:
y=x%5E2-4x%2B4-1multiplying terms
:
y=x%5E2-4x%2B3standard form of a parabola

Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
Standard form of a parabola:
y = ax^2 + bx + c
reference:
http://www.mathwarehouse.com/geometry/parabola/standard-to-vertex-form.php
.
y= (x-2)^2 -1
FOIL the right term:
y= (x-2)(x-2) -1
y= (x^2-4x+4) -1
y= x^2-4x+4 -1
y= x^2-4x+4 -1
y= x^2 - 4x + 3