The graph of the function g(x) is a transformation of the parent function f(x)=x^2.
which equation describes the function g?

Option C. g(x) = x² - 4

Step-by-step explanation:

Since graph of a function is f(x) = x² so it's a parabola opening vertically up (symmetric to the y-axis).

Now when we transform this function by shifting (-4) on y-axis as shown, the parent function will shift down by 4 units.

Therefore the new function will be g(x) = x² - 4

Option C. g(x) = x² - 4 is the answer.

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.

the line of