Answer:
None of the given equations represent the given graph.
Step-by-step explanation:
Here, from the given graph we can see that:
for the value of x = -3, the value of y = 3
Now, put the above values in the equations given below:
A) y = x -3
if x = -3, y = -3 -3 = -6
⇒ For, x = -3, y ≠ 3 .
Hence, y = x -3 DO NOT represent the graph
B) y = -x + 3
if x = -3, y = -(-3) + 3 = 6
⇒ For, x = -3, y ≠ 3 .
Hence, y = -x + 3 DO NOT represent the graph
C) y = -x -3
if x = -3, y = -(-3) -3 = -3 + 3 = 0
⇒ For, x = -3, y ≠ 3 .
Hence, y = -x -3 DO NOT represent the graph
D) y = x + 3
if x = -3, y = -3 = 3= 0
⇒ For, x = -3, y ≠ 3 .
Hence, y = x + 3 DO NOT represent the graph
Hence, None of the given equations represent the given graph.