SOLUTION: Write { { { 3/2( x-2)^2-1 } } } in standard form.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Write { { { 3/2( x-2)^2-1 } } } in standard form.      Log On


   

Question 850028: Write { { { 3/2( x-2)^2-1 } } } in standard form.
Answer by josh_jordan(263) About Me  (Show Source):
You can put this solution on YOUR website!
In order to write this expression in standard form, we need to use the order of operations. So, we will first expand (x - 2)^2 by FOILING:

(x - 2)(x - 2) ----->

x^2 - 2x - 2x + 4 ----->

x^2 - 4x + 4

Next, we need to distribute the 3/2 to x^2 - 4x + 4, by multiplying these terms together:

%283%2F2%29x%5E2-%2812x%2F2%29%2B%2812%2F2%29 ----->

%283%2F2%29x%5E2-6x%2B6

Now, we just need to add the -1 to this quadratic:

%283%2F2%29x%5E2-6x%2B6-1 ----->

%283%2F2%29x%5E2-6x%2B5 which is our answer