Below is the Equation y=a|x-b|+c. Translations of the parent equation y=|x| by changing the values of a, b and c.
Set a=1, b=0, and c=0. This will graph the parent function y=|x| having a vertex at the origin (0,0). 1. Leaving a=1 and c=0. a. How does changing the value of [b]b[/b] effect the parent function y=|x|. i. To 3? ii. To 5? iii. To -3? iv. To -5? 2. Leaving a=1 and b=0. a. How does changing the value of [b]c[/b] effect the parent function y=|x|. i. To 3? ii. To 5? iii. To -3? iv. To -5? 3. Leaving b=0 and c=0. a. How does changing the value of [b]a[/b] effect the parent function y=|x|. i. To 3? ii. To 4? iii. To .5? iv. To -.5? v. To -2? vi. To -3? b. How does the parent function change when a>0 (a is greater than 0)? c. How does the parent function change when 0<a<1(a is between 0 and 1)? d. How does the parent function change when a<0(a is less than 0)? 4. Set a=.5, b=3, c=-2 and explain the transformation of the parent function. 5. What is the absolute value equation that has a vertex shifted 3 units right, 2 units down, is reflected across the x-axis (looks upside down), and stretched by a scale factor of 3.