The graph of f(x) = −x2 − 2x + 8 is shown. Which of the following describes all solutions for f(x)?

a parabola passing through negative 4 comma zero, negative 1 comma 9, zero comma 8, and 2 comma zero

A. (x, −x2 − 2x + 8) for all real numbers
B. (−4, 0), (−1, 9), (0, 8), (2, 0)
C. (−4, 0), (2, 0)
D. (x, y) for all real numbers

C. (−4, 0), (2, 0)

Step-by-step explanation:

Turning point: (-1,9)

Solutions are the x-intercepts

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.