Write an equation for the function that is described by the given characteristic.
The shape of , but shifted three units to the left and reflected in both the x-axis and the y-axis.

Question

Write an equation for the function that is described by the given characteristic. ​
The shape of  , but shifted three units to the left and reflected in both the x-axis and the y-axis.
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Quizplus · Accepted Answer

The equation for the given function is y = abs(x). To shift it three units to the left, we replace x with (x+3). To reflect it in both the x-axis and the y-axis, we replace x with (-x) and y with (-y). Thus, the final equation is: 
y = abs(-(x+3)) = abs(-x-3) 
Simplifying this, we get:
y = abs(-x-3) = |-x-3| = -x-3 if x<-3, x+3 if x>=-3. 
This is the equation for choice C.

Write an Equation for the Function That Is Described by the Given