223k views
5 votes
Describe the transformations from the graph of f(x)=∣x∣ to the graph of v(x)=−3∣x+1∣+4

1 Answer

4 votes

The transformation from f(x) = |x| to v(x) = -3 |x + 1| + 4 involves a vertical reflection, a horizontal shift left by 1 unit, and a vertical shift up by 4 units.

The transformation from the graph of f(x) = |x| to v(x) = -3 |x + 1| + 4 involves three key changes:

1. Reflection:

- The negative sign in front of 3 reflects the graph vertically, causing it to flip upside down.

2. Horizontal Shift:

- The expression |x + 1| shifts the graph horizontally by 1 unit to the left.

3. Vertical Shift:

- The constant +4 shifts the entire graph vertically upward by 4 units.

These transformations collectively result in an inverted, horizontally shifted, and vertically shifted version of the original absolute value function.

User Samuel Tian
by
8.5k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.