The image of the point (-1,-8) under a translation is (0, -11). Find the coordinates of the image of the point (-4,-1) under the same translation.

(-3,-4)

Step-by-step explanation:

● (-1,-8) => (0,-11)

Notice that to move from -1 to 0 in the x-axis we should go one unit to the right wich means adding 1.

● -1 + 1 = 0

Notice that to move from -8 to -11 in the y-axis we should go 3 units down wich means substracting 3.

● -8-3 = -11

Let's do the same for the second point.

● (-4,-1) => ?

Add 1 to -4

● -4+1 = -3

We moved 1 unit to the right by adding 1

Substract 3 from -1

● -1-3 = -4

We moved down 3 units by substracting 3

So the image of (-4,-1) is (-3,-4)

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.