graph this function:\n\n$y = |x|$\n\nclick to plot the vertex first.
graph this function:\n\n$y = |x|$\n\nclick to plot the vertex first.
Answer
Explanation:
Step1: Find the vertex
The vertex of (y = |x|) is at ((0,0)) since for (y=a|x - h|+k), here (h = 0,k = 0)
Step2: Find points for (x\geq0)
When (x = 1,y=|1| = 1); when (x = 2,y = |2|=2); when (x=3,y = |3| = 3) etc.
Step3: Use symmetry for (x<0)
Since (y = |x|) is symmetric about the (y) - axis. If ((x,y)) is on the graph, then ((-x,y)) is also on the graph. For example, if ((1,1)) is on the graph, then ((-1,1)) is on the graph.
Plot the vertex ((0,0)) and then use the points from steps 2 and 3 to draw the "V - shaped" graph of (y = |x|)
Answer:
Plot the vertex at ((0,0)), then plot points such as ((1,1),(2,2),(-1,1),(-2,2)) and connect them to form a "V - shaped" graph.