A coordinate plane shows two v-shaped curves.
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 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 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.
1 answer
The transformed function \( y = 4f(x) \) indicates that the parent function \( f(x) \) is being vertically stretched. Specifically, when a function is multiplied by a factor greater than 1 (in this case, 4), it results in a vertical stretch.
Thus, the correct description is:
The parent function has been vertically stretched by a factor of 4.
