Select the correct answer The vertex of a parabola is at the point (3,1), and its focus is at (3,5), What function does the graph represent?

Option (D)

Step-by-step explanation:

Vertex form of the parabola will be,

f(x) = a(x - h)² + k

Where (h, k) is the vertex and focus will be .

Given : Vertex → (3, 1) → (h, k)

            Focus → (3, 5) →

Therefore, h = 3, k = 1

And,

a =

By substituting these values in the equation, function representing the parabola will be,

f(x) =

Option (D). will be the answer.

dont think so

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