Given g(x)=f(x)+k, what value of k transforms function f into g? The value of k that transforms function f into g is what?

To help you visualize the concept of a vertical shift, consider thaty=f(x).y=f(x).Therefore,f(x)+kf(x)+kis equivalent toy+k.y+k.Every unit ofyyis replaced byy+k,y+k,so the y-value increases or decreases depending on the value ofk.k.The result is a shift upward or downward.

VERTICAL SHIFT

Given a function f(x),f(x), a new function g(x)=f(x)+k,g(x)=f(x)+k, where kk is a constant, is a vertical shift of the function f(x).f(x). All the output values change by kk units. If kk is positive, the graph will shift up. If kkis negative, the graph will shift down.

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.