Which function represents the widest parabola? explain your reasoning. A . y = 2( x + 3 )^2
B . y = x^2 − 5
C . y = 0.5(x − 1 )^2 + 1
D . y = − x^2 + 6

C

Step-by-step explanation:

The coefficient on the x^2 tells you how wide of narrow the parabola is.

Coefficients greater than 1 get more narrow.

Coefficients less than 1 (and greater than 0) get wider.

If the coefficient is negative, ignore the negative in terms of finding the width of the parabola.  The negative just means it's pointing down, but that doesn't impact the width.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet