How does the graph of g(x) = −(x + 3)^4 compare to the parent function of f(x) = x^4
a) g(x) is shifted 3 units to the right and 1 unit up.
b) g(x) is shifted 3 units to the right and 1 unit down c) g(x) is shifted 3 units to the right and reflected over the x-axis
d) g(x) is shifted 3 units to the left and reflected over the x-axis

D) g(x) is shifted 3 units to the left and reflected over the x-axis

Step-by-step explanation:

The reflection -f(x) indicates a reflection in the x-axis. + means that it shifts to the left.

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.