The coordinates of one vertex of this triangle are (–2, 2). If the triangle is translated 3 units to the left and 5 units down, what are the coordinates of the image of this point?

(-5,-3)

Step-by-step explanation:

first you must know left and right is the x-axis while you and down is 4-axis, down and left is subtraction, right and up is addition

so 3 units left would affect x axis therefor subtracting 3 from -2 which is -5

now 5 units down would be the y-axis and subtracting, 2-5= -3

finally your answer will be (-5,-3)

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.