SOLUTION: For the function y = x2 - 6x + 8, perform the following tasks: a) Put the function in the form y = a(x - h)2 + k.

Algebra ->  Graphs -> SOLUTION: For the function y = x2 - 6x + 8, perform the following tasks: a) Put the function in the form y = a(x - h)2 + k.       Log On


   

Question 76530: For the function y = x2 - 6x + 8, perform the following tasks:
a) Put the function in the form y = a(x - h)2 + k.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
y++=++x%5E2+-+6x+%2B+8
y+-+8+=++x%5E2+-+6x Subtract 8 from both sides
y+-+8+%2B+%28-6%2F2%29%5E2+=++x%5E2+-+6x%2B%28-6%2F2%29%5E2 Add %28-6%2F2%29%5E2 to both sides. This will complete the square.
y+-+8+%2B+9+=++x%5E2+-+6x+%2B+9
y+%2B+1+=++%28x-3%29%5E2+ Factor the right side
y+=++%28x-3%29%5E2+-1+ Subtract 1 from both sides. This is the equation in y+=+a%28x+-+h%29%5E2+%2B+k form where a=1, h=3, and k=-1.