Answer:
The graph is of the equation y = 3|x| + 5.
Step-by-step explanation:
From the graph, it is clear that the graph has two different equations and the value of x at which the equation changes is 0.
Therefore, only the equation in options B and D changes at x = 0.
Now, from equation B, y = 3|x| + 5 gives
y = 3x + 5 when x ≥ 0 and y = - 3x + 5, when x < 0 ............ (1)
And the equation D, y = 5|x| + 3 gives
y = 5x + 3 when x ≥ 0 and y = - 5x + 3 when x < 0 ................ (2)
Now, for x = 0, from the graph we have y = 5.
So, the only relations (1) satisfies this.
Hence, the graph is of the equation y = 3|x| + 5. (Answer)
