. 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 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 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
.
1 answer
The transformed function \( y = 4f(x) \) indicates that the parent function \( f(x) \) is vertically stretched by a factor of 4.
When you multiply the function \( f(x) \) by a value greater than 1 (in this case, 4), the output values of the function are increased, resulting in a vertical stretch.
So, the correct description of the transformed function is:
The parent function has been vertically stretched by a factor of 4.
