#color(blue)("Step 1")#
Write as: #y=5(x^2-2/5x)-6+k#
where #k# is a correction for an error that will be introduced by the method.
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Step 2")#
#color(brown)("Move the power to outside the brackets")#
#y=5(x-2/5x)^2-6+k#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Step 3")#
#color(brown)("Halve the "2/5)#
#y=5(x-2/10x)^2-6+k#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Step 4")#
#color(brown)("Remove the "x" from "-2/10x)#
#y=5(x-2/10)^2-6+k#
#color(green)("Now we need to determine the value of "k)#
,~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(blue)("Step 5")#
The squaring the #-2/10" " ->+4/100#
Now multiply it by the 5 #->5xx4/100 = 4/20-=1/5#
So #1/5+k=0=> k=-1/5# giving
#" "color(purple)(bar(ul(|color(white)((2/2)/2)y=5(x-1/5)^2-31/5color(white)(2/2)|)))#
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#color(white)(.)#
