Question

Which parent function is represented by the table?

X
у
-2
2.
-1
1
0
0
1
1
2
N

Answer 1

Answer: f(x) = |x|

Explanation:

`\begin{array}{cc}\underline{\quad x \quad} &\underline{\quad y \quad}\\-2&2\\-1&1\\0&0\\1&1\\2&2\end{array}`

Notice that the y-values are the positive of the x-values

x = -2, y = |-2| = 2

x = -1, y = |-1| = 1

x = 0, y = |0| = 0

x = 1, y = |1| = 1

x = 2, y = |2| = 2

The parent function is the absolute value function --> y =|x|