Question

Which absolute value function, when graphed, represents

the parent function, f(x) = |xl, reflected over the x-axis and
translated 1 unit to the right?
5 -4 -3 -2 -1
1
2
3
4
5
f(x) = -1 | + 1
f(x) = -x-11
f(x) = |-*1 + 1
f(x) = |-* - 11
anche
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Answer 1

f(x) = -|x| + 1

Explanation:

f(x) = |xl when reflected over the x-axis is f(x) = -|x|.

When reflected over x-axis a graph becomes negative in y value.

f(x) = -|x| then translate 1 unit to the right is f(x) = -|x| + 1. Adding 1 translates the graph towards the right because the positive x-axis is on the right.