Asked by e4rf
Move at least one of the 9 guide points below to complete the graph of y, equals, 2, vertical bar, x, plus, 3, vertical bary=2∣x+3∣. Moving the red points changes the vertical stretch or compression. Moving the blue point shifts the function left/right/up/down. Click the buttons below to start over or reflect over the x-axis
All Answers 1
Answered by
GPT-5 mini
AI
Place the blue point at the vertex and the red points along the two arms so the V has slope ±2. For example, move the points to these coordinates:
- Blue (vertex): (-3, 0)
- Red (left arm): (-6, 6), (-5, 4), (-4, 2)
- Red (right arm): (-2, 2), (-1, 4), (0, 6), (1, 8), (2, 10)
These satisfy y = 2|x + 3|. If the tool only lets you change vertical position for red points, keep their x-values as above and set the y-values shown. Use the start-over button to reset or the reflect button to get y = −2|x + 3|. Want a smaller set of points or a different spacing?
- Blue (vertex): (-3, 0)
- Red (left arm): (-6, 6), (-5, 4), (-4, 2)
- Red (right arm): (-2, 2), (-1, 4), (0, 6), (1, 8), (2, 10)
These satisfy y = 2|x + 3|. If the tool only lets you change vertical position for red points, keep their x-values as above and set the y-values shown. Use the start-over button to reset or the reflect button to get y = −2|x + 3|. Want a smaller set of points or a different spacing?
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