You have the following equation:
y = -2|x + 3|
In order to graph the previous equation, take into accouint that the absolute value of any number, positive or negative, is equal to the same number always positive.
Select an interval for x, as for example (-5,0), and evaluate the equation for these values, just as follow:
y(-5) = -2|-5 + 3| = -2|-2| = -2(2) = -4
y(-4) = -2|-4 + 3| = -2|-1| = -2(1) = -2
y(-3) = -2|-3 + 3| = -2|0| = 0
y(-2) = -2|-2+3| = -2|1| = -2
y(-1) = -2|-1 + 3| = -2|2| = -4
y(0) = -2|0+3| = -2(3) = -6
The graph is shown below:
