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 compressed by a factor of 4.
The parent function has been vertically compressed by a factor of 4.
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 stretched by a factor of 1/4
.
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 1/4
.
The parent function has been vertically compressed by a factor of Start Fraction 1 over 4 End Fraction .
1 answer
The transformed function \( y = 4f(x) \) means that the output values of the parent function \( f(x) \) are being multiplied by 4. This results in the graph of the function being vertically stretched because each point on the curve is moved away from the x-axis by a factor of 4.
Therefore, the correct description of the transformed function \( y = 4f(x) \) is:
The parent function has been vertically stretched by a factor of 4.
