Find the maximum value of y = -2(x - 4)2 - 6.

y = -2(x-4)2-6

= -4(x-4) - 6

= -4x + 16 -6

y = 10- 4x

now if x is positive, x >= 0

then max value of y will be when x will nr minimum

so max y = 10- 4×0 = 10

so y = 10 at x =0 for x >=0

if x < 0 then

y will be increasing as x gets increase towards more negative. so max of y will be decided when x reaches to max negative.

answer: 25.4 units

step-by-step explanation: radius = 12.7 units

diameter = twice the radius

diameter = 12.7 x 2

= 25.4