Question

Graph the image of the given triangle after the transformation with the rule (x, y)→(x−6, y−4) .

Answer 1

Answer: See the figure attached.

Step-by-step explanation:

Observe the figure attached. The vertices of the triangle ABC have the following coordinates:

A(2,5); B(6,2) and C(3,-5)

To graph the image (in this case we can identify it as A'B'C'), you must use the rule $(x,y)$→$(x-6,y-4)$.

Then, you have to subtract 6 units from the x-coordinate of each vertex and subtract 4 units from the y-coordinate of each vertex.

Therefore, you get:

Vertex A'→ $(2-6,5-4)=(-4,1)$

Vertex B'→ $(6-6,2-4)=(0,-2)$

Vertex C'→ $(3-6,-5-4)=(-3,-9)$

Having the vertices of the image A'B'C', you can graph it (See the figure attached).