Determine the cubic function that is obtained from the parent function y = x^3 after each sequence of transformations

Vertical stretch by a factor of 3; vertical translation up 4 units; horizontal translation left 2 units

The answer here depends on whether you want to do them individually or collectively.  If we go individually, then:

The vertical scaling gives us y = 3x³

The vertical translation gives us y = x³ + 4

The horizontal translation gives us y = (x + 2)³

On the other hand, if we want to apply all three at the same time, we get:

starting with a vertical scaling of 3, we get:

start with scaling: y = 3x³

add vertical translation: y = 3x³ + 4

and finally add horizontal translation: y = 3(x + 2)³ + 4

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.