Marie is practicing her reflections on graph paper.

A four quadrant coordinate plane is shown. Three figures are graphed. The vertices of Figure M are two comma negative four, four comma negative one, and six comma negative four. The vertices of Figure N are two comma four, four comma one, and six comma four. The vertices of Figure P are negative six comma four, negative four comma one, and negative two comma four.
Select the correct buttons in the table to show whether Figure P is a reflection of another figure.

Yes No
A. Is Figure P a reflection of Figure N over the y-axis?
B. Is Figure P a reflection of Figure M over the y-axis and then over the x-axis?
C. Is Figure P a reflection of Figure M over the x-axis and then over the y-axis?

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3