how do you flip y=x^2 and then move left 1 and down 6?

Question

I dont understand how I am supposed to do the problem.

Answer 1

To flip y=x^2 around the x-axis, negate the entire right side of the equation.  In this case, it would be y=—x²  

 

To move it to the left or right, you must add something in with the "x".  In this case, it would be (x+1) ("+" moves left, "—" moves right - I know, it is backwards).

 

To move it up or down, you have to add something "outside" of the x.  In this case, it would be "—6".  ("+" moves graph up, "—" moves graph down)

 

Putting this all together, y=—(x+1)² — 6

                                         

                                     flip  left 1  down 6