QuestionFunction Operations and Inverses Graphing an absolute value equation in the plane: Advan
Graph the equation. $$y=3|x+4|-5$$

Studdy Solution
Sketch the graph using the vertex and transformations:
1. Start by plotting the vertex $(-4, -5)$ on the coordinate plane.
2. Since the graph is vertically stretched by a factor of 3, the "V" shape will be narrower than the parent function $y = |x|$.
3. The axis of symmetry is the vertical line $x = -4$.
4. From the vertex, plot additional points by moving 1 unit right and left from the vertex and then 3 units up (due to the vertical stretch) to maintain the "V" shape.
5. Connect the points to form the "V" shape of the graph.
The graph of the equation $y = 3|x+4| - 5$ is a "V" shape with the vertex at $(-4, -5)$, stretched vertically by a factor of 3, shifted 4 units to the left, and 5 units downward.