Graph this function:
y=|4x|
Click to plot the vertex first.

To graph the function \( y = |4x| \), we follow these steps:

1. **Recognize the absolute value function**: The equation \( y = |4x| \) can be seen as a V-shaped graph. The key point here is the vertex of the graph, which is the point where the expression inside the absolute value equals zero.

2. **Find the vertex**: The vertex occurs when \( 4x = 0 \). Solving this gives \( x = 0 \). Hence, the vertex is at the point \( (0, 0) \).

3. **Understand the slopes**: 
   - For \( x \geq 0 \), \( y = 4x \) (the graph is linear and increases with a slope of 4).
   - For \( x < 0 \), \( y = -4x \) (the graph is also linear but decreases with a slope of -4).

4. **Plot key points**:
   - \( (0, 0) \) is the vertex.
   - For \( x = 1 \), \( y = 4 \), so point \( (1, 4) \) is on the graph.
   - For \( x = -1 \), \( y = 4 \), so point \( (-1, 4) \) is also on the graph.

I can plot this for you if you'd like. Would you prefer that?

Graph this function: y = |4x|. Click to plot the vertex first.

Learn how to graph the absolute value function y = |4x|. This problem explains key concepts like the vertex and slopes, showing how to plot the function step by step. Suitable for students in Grades 8-10.

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