Which a regular octagon rotates 360° about its center. how many times does the image of the octagon coincide with the preimage during the rotation? will always map a parallelogram onto itself?

The word you are looking for is rotational symmetry and for that an octagon has orders of 8 (that is what you call the times it overlaps) I do not know what you mean on the swcong question

Step-by-step explanation:

A way of finding out how many orders a shape has of rotational symmetry is by getting some tracing paper and tracing the shape. You then put your pencil on the center of the shape and count how many time the shape overlaps

answer: it's upside down and i can't read it

step-by-step explanation:

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