Question

Use Completing the Square to convert from Standard Form to Vertex Form
y=x2 – 8x + 14

Answer 1

(x - 4)^2 - 2

Explanation:

Step 1: Make sure the coefficient of x^2 is 1

1 [x^2 - 8x + 14]

Step 2: Express the coefficient 8x as (8x multiplied by 1/2) the express the answer as two half's positive and negative squared

1 [x^2 - 8x + (-4)^2 - (-4)^2 + 14]

Step 3: Separate the function into two parts from the negative of the coefficient of 8x (4) solve the part then factorise the other part

1 [ ( x - 4 )^2 - 2 ]

Step 4: Distribute the factor (1)

(x + 4)^2 - 2