After a dilation of the triangle with a scale factor of 3 centered at the origin, its graph is shown in the image attached below.
What is a transformation?
In Mathematics, a transformation can be defined as the movement of a point from its original (initial) position to a new location. Thus, when an object is transformed, all of its points would be transformed as well.
Generally, there are different types of transformation and these include the following:
.
As a general rule, when a point P(x, y) is dilated by using a scale factor of "k" at the origin, the new location would be P'(kx, ky).
Since this triangle has vertices at (0, 0), (3, -1) and (3, 3), dilating it by a scale factor of 3 centered at the origin, would move the vertices to a new location:
New location = 3 × [(0, 0), (3, -1) and (3, 3)]
New location = (0, 0), (9, -3), and (9, 9).
In conclusion, after a dilation of the triangle with a scale factor of 3 centered at the origin, its graph is shown in the image attached below with vertices at point (0, 0), (9, -3), and (9, 9).
Read more on transformation here: https://brainly.com/question/1548871