Question

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.

Answer 1

1. (3, 4) = (-3, 4)

2. (4, 7) = (-4, 7)

3. (8, 2) = (-8, 2)

Answer 2

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.