Graphical Analysis problem

If the curve shown on the graph is shifted 2 units to the left and then 3 units down, what will be the coordinates of its new x-intercept?

A. (0, 0)
B. (1, 0)
C. (-1, 0)
D. (2, 0)


The easiest method to solve this problem is to find a point on the graph that will land on the x-axis (where y = 0) when performing the horizontal and vertical shifts. The point (2, 3) on the curve is a good choice. The shifted curve will intercept the origin. Thus the correct choice is (A).

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