The vertex of this parabola is at (3,-2). when the x-value is 4, the y-value is 3. whatis the coefficient of the squared expression in the parabolas equation

The coefficient of the squared expression in the parabolas equation will be 5.

Step-by-step explanation:

The vertex form of parabola is:   , where is the vertex point and is the coefficient of term.

The vertex is given as . That means, and

So, the vertex form will be:  

Given that, when the x-value is 4, the y-value is 3. So, plugging these values into the above equation, we will get.....

Thus, the coefficient of the squared expression in the parabolas equation will be 5.

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

answer: options

step-by-step explanation: