Dilate the the triangle, scale factor = 3 (positive 3, ignore the negative in the image below) with a center of dilation about
the origin.
A(-7,-6)
B(-5,-2)
C(-1,-5)

The rule of dilation is .

The vertices of the dilated triangle are , and , respectively.

Step-by-step explanation:

From Linear Algebra, we define the dilation by the following definition:

(1)

Where:

- Center of dilation, dimensionless.

- Scale factor, dimensionless.

- Original point, dimensionless.

- Dilated point, dimensionless.

If we know that , , , and , then dilated points of triangle ABC are, respectively:

(2)

(3)

(4)

The rule of dilation is:

(5)

The vertices of the dilated triangle are , and , respectively.

the circle graph is not a function.

step-by-step explanation:

the graph of the circle is not a function.

because for a graph to be a function, each value of x must give one value of y

in the circle, the values of x for -2< x< 2 each give 2 values of y.

hence this is not a function.