Graph the image of the given triangle after the transformation with the rule (x, y)→(−x, y) . select the "polygon" button from the tool bar to plot your triangle. you may use the "move" button to move the triangle after it is created.

Given coordinates of the triangle:

(3,4)

(4,7)

(8,2).

We are given rule for transformation: (x,y) --> (-x,y).

According to given rule the y coordinates remain same but the coordinates of x's getting multiplied by a negative sign.

Let us write transformed coordinates of the given triangle according to given rule.

(3,4) --> (-3,4)

(4,7) --> (-4,7)

(8,2) --> (-8,2).

Now, we can plot those transformed coordinates on the graph and plot transformed triangle.

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step-by-step explanation: