Write the equation of a parabola with a vertex at (5, 2) and a directrix y = 1.

Step-by-step explanation:

A parabola with vertex at (5, 2) and a directrix y = 1 is a vertical parabola that opens up.

The distance from the vertex to the directrix p=2-1=1 units.

The equation is given by:

where (h,k)=(5,2) is the vertex.

We substitute the values to get:

Or

the correct answer is b.

this is because an open circle means < or > & since the line goes left it is < -3.

the next one has a filled circle so it can only be ≥ or ≤ and since the line goes right from 1 it is ≥ 1

hope that

2 equivalent expressions to represent the area of a rectangle and the top is n-3 and the side is 2

area of the rectangle = length * width

given length = n - 3

width = 2

replace it in the area

so area of the rectangle = (n-3) *2

= 2(n-3)

one of the expression is 2(n-3)

to get another expression we distribute 2 inside the parenthesis

2(n-3) is 2n - 6

so another expression is 2n - 6

two equivalent expression are

2(n - 3)   , 2n - 6