What is the vertex of a parabola having the equation y = –2(x – 5)2 + 7? which direction does the parabola open?

That's vertex form for a parabola and we read off vertex (p,q) as

Vertex (5,7)

The negative a tells us this is a downward opening parabola (upside down from the usual . I remember CUP - Concave Up Positive; here a is negative so not a cup, instead concave down. The same rule applies to second derivatives in calculus so memorize it now and use it later.

downward

idk

step-by-step explanation:

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