Solution: The dilation of gk by a scale factor of 2 centered at (-2,-4) is
and
.
Explanation:
It is given that the scale factor is 2 and center of dilation is (-2,-4).
If the center of dilation is (a,b) with scale factor k, then the dilation of a point P(x,y) is determined by the given formula.
.....(1)
To find the g' substitute x=0, y=0, a=-2, b=-4 and k=2 in equation (1).

To find the k' substitute x=4, y=4, a=-2, b=-4 and k=2 in equation (1).

Therefore, the dilation of gk by a scale factor of 2 centered at (-2,-4) is
and
.
Add 6 to left middle and right
then, divide them all by 3
The answer will have to be 13
D. graph D
Explanation
Step 1
graph the function as a line
convert

to graph, find 2 coordianates
a) when x=0

b) when
x=-4

now, using two points draw a line
Step 2
we are looking fro values under this line, so the answer is
D. graph D