Question
What function g describes the graph of f after the given transformation?
f(x) = IxI; reflected across the x-axis and translated 4 units up.
- f(x) = -IxI + 4
- f(x) = IxI - 4
- f(x) = -4IxI
- f(x) = -Ix/4I
Hint:
Know what going up, down, left, right along the axes does to a function.
The correct answer is: f(x) = -IxI + 4
When reflected across the x-axis, f(x) becomes -IxI.
4 units up means f(x) increases by 4 units.
f(x) = -IxI + 4
Read the problem carefully in order to understand the direction of the axes.
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