1. Parent Functions and Transformations
Sign In
The given function is an absolute value function, so its parent function is y=∣x∣. We will start by graphing both functions in one coordinate plan. Then we will compare them to describe the transformation.
To graph both of the functions we will use a table of values. We will choose a variety of x-values: at least one negative, 0, and at least one positive.
x | y=∣x∣ | f(x)=4+∣x∣ |
---|---|---|
-2 | ∣-2∣=2 | 4+∣-2∣=6 |
0 | ∣0∣=0 | 4+∣0∣=4 |
2 | ∣2∣=2 | 4+∣2∣=6 |