Graph the image of the given triangle under a dilation with a scale factor of -3 and center of dilation (0,0)

A'=(6, -9)  B'=(0,-6) and C=(9,9)

Step-by-step explanation:

Let's do it by parts, so that the comprehension may be as clear as possible. To Dilate a Triangle is to transform it making it bigger, or smaller.

A= (-2,3) B=(0,2) and C=(-3,-3)

The center of Dilation indicates the point which is the reference for us to dilate the Triangle, and it shows us the direction. Since the point is  (0,0) it is in the center of the Cartesian Plane.

In addition to this, the scale factor, multiplies each coordinate in this case for -3, then there was a rotation and dilation in fact:

From:

A= (-2,3) B=(0,2) and C=(-3,-3)

It becomes:

A'=-3(-2,3) B'=-3(0,2) and C'=-3(-3,-3)

A'= (6,-9) B'=(0,-6) and C' =(9,9)

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.