Pregunta
(c) \( y=4 f(x) \) Stretch the graph vertically by a factor of 4 . Shrink the graph horizontally by a factor of 4 . Shift the graph 4 units upward. Shift the graph 4 units to the left. Stretch the graph horizontally and vertically by a factor of 4 . Shrink the graph horizontally by a factor of 4 . Shift the graph 4 units to the left. Stretch the graph horizontally and vertically by a factor of 4 . Shift the graph 4 units upward. Stretch the graph vertically by a factor of 4 .
Ask by Powell Nguyen. in the United States
Feb 10,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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Stretch the graph vertically by a factor of 4.
Solución
The transformation in y = 4f(x) multiplies the entire function by 4, which means every y-coordinate is increased by a factor of 4 while the x-coordinates remain unchanged. This is a vertical stretch by a factor of 4.
Thus, the correct description is:
Stretch the graph vertically by a factor of 4.
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Simplifique esta solución Mind Expander
When you stretch the graph of \( y = f(x) \) vertically by a factor of 4, every point on the graph moves away from the x-axis. That means if you have a point \( (a, b) \) on the original graph, it will now be at \( (a, 4b) \). It's like giving the graph a little lift, making it taller without changing its shape! Shifting the graph 4 units upward simply means you take every point and add 4 to its y-coordinate. So, a point \( (a, b) \) becomes \( (a, b+4) \). This transformation moves the entire graph up the y-axis, like floating it on a magic carpet just a little higher in the sky!
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