Example 2 Graph an Absolute Value Function Graph
Example 2 Graph an Absolute Value Function Graph y = 2 x. SOLUTION STEP 1 Plot the vertex at the origin. STEP 2 Find a second point by substituting an x-value. y =2 x Write original equation. =2 2 Substitute 2 for x. = 2( 2) Evaluate 2. =4 Multiply. A second point is ( 2, 4).
Example 2 Graph an Absolute Value Function STEP 3 Plot the second point and use symmetry to plot a third point at ( – 2, 4). STEP 4 Connect these three points with a V-shaped graph, as shown.
Example 3 Graph an Absolute Value Function Graph y = – 4 x. SOLUTION STEP 1 Plot the vertex at the origin. STEP 2 Find a second point by substituting an x-value. y = – 4 x Write original equation. = – 4 2 Substitute 2 for x. = – 4( 2) Evaluate 2. = – 8 Multiply. A second point is ( 2, – 8 ).
Example 3 Graph an Absolute Value Function STEP 3 Plot the second point and use symmetry to plot a third point at ( – 2, – 8 ). STEP 4 Connect these three points with a V-shaped graph, as shown.
Checkpoint Graph an Absolute Value Function Graph the function. 4. y = 3 x ANSWER
Checkpoint Graph an Absolute Value Function Graph the function. 1 5. y = x 2 ANSWER
Checkpoint Graph an Absolute Value Function Graph the function. 6. y = 1. 5 x ANSWER
Checkpoint Graph an Absolute Value Function Graph the function. 7. y = – 1 x 2 ANSWER
Checkpoint Graph an Absolute Value Function Graph the function. 8. y = – 2 x ANSWER
Checkpoint Graph an Absolute Value Function Graph the function. 9. y = – 5 x ANSWER
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