The function graphed with a solid line is the parent function, y=f(x) . Which of the following describes the transformed function, y=4f(x) , which is shown with a dotted line? (1 point) Responses The parent function has been vertically stretched by a factor of 4. The parent function has been vertically stretched by a factor of 4. The parent function has been vertically compressed by a factor of 14 . The parent function has been vertically compressed by a factor of Start Fraction 1 over 4 End Fraction . The parent function has been vertically stretched by a factor of 14 . The parent function has been vertically stretched by a factor of Start Fraction 1 over 4 End Fraction . The parent function has been vertically compressed by a factor of 4. The parent function has been vertically compressed by a factor of 4. Skip to navigation
1 answer
The transformed function \( y = 4f(x) \) indicates a vertical stretch of the parent function \( y = f(x) \) by a factor of 4. This means that for every point on the original function, the y-value (output) is multiplied by 4, causing the graph to stretch away from the x-axis.
Therefore, the correct description of the transformed function is:
The parent function has been vertically stretched by a factor of 4.
