The graphs below have the same shape. what is the equation of the blue graph?

Option A

Step-by-step explanation:

I the figure attached red parabola is represented by the function f(x) = x² and we have to find the equation of blue graph.

Since graph f(x)= x² has been shifted 4 units right on x-axis so equation of g(x) will be

g(x) = (x-4)²

Option A 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.

by definition, an arc subtended by a central angle of some given measure has the same measure. so .