Question 1080616
Problem:

<img src = "https://www.usatestprep.com/modules/gallery/files/91/9101/9101.png">

If the graph is that of f(x), name a point that lies on f-1 (x).
A)	(3, 1)	
B)	(2, -2)	
C)	(1, -3)	
D)	(-3, 1)

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Answer: <font color=red>Choice D) (-3,1)</font>


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Reasoning: 


The point (1,-3) lies on the parabola given in the original problem. This point is of the form (x,y) where x = 1 and y = -3. When it comes to the inverse, everything gets swapped. The x's become y's and vice versa. So (x,y) = (1,-3) becomes (y,x) = (-3,1) which is what choice D says. 


Side Note: If you did this swapping with EVERY point on the parabola, then things will reflect over the line y = x to have the parabola open sideways to the right.