Question

y = |x|
click to plot the vertex first.

Explanation:

Step1: Identify the vertex of \( y = |x| \)

The absolute value function \( y = |x| \) has its vertex at the point where the expression inside the absolute value is zero. For \( y = |x| \), when \( x = 0 \), \( y = |0| = 0 \). So the vertex is at \( (0, 0) \).

Step2: Plot the vertex

On the given coordinate grid, the point \( (0, 0) \) is the origin, which is the intersection of the x - axis and y - axis. We click on the origin to plot the vertex.

Step3: Find other points to draw the graph (optional for identifying the vertex plot)

For \( y = |x| \), when \( x = 1 \), \( y = |1| = 1 \) (point \( (1, 1) \)); when \( x=- 1 \), \( y = | - 1|=1 \) (point \( (-1, 1) \)). But since the first step is to plot the vertex, we focus on \( (0,0) \).

Answer:

The vertex of \( y = |x| \) is at the point \( (0, 0) \), so we plot the point at the origin (where \( x = 0 \) and \( y = 0 \)) on the grid.