A figure is located at (2, 0), (2, −2), (6, −2), and (6, 0) on a coordinate plane. What kind of 3-D shape would be created if the figure was rotated around the x-axis? Provide an explanation and proof of your answer to receive full credit. Include the dimensions of the 3-D shape in your explanation.

the shape would be a rectangle and if it was rotated around the x-axis, it will result in a cylinder. not sure how to explain it well. hopefully, someone else can.

Step-by-step explanation:

https://th.bing.com/th/id/OIP.h4_Kk0Gq6Xw-YWzUI-b4ygHaEF?pid=ImgDet&rs=1

the image can help you visualize it better.

its safe guys dont worry

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1