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 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 4.
1 answer
The transformed function \( y = 4f(x) \) indicates a vertical stretching of the parent function \( y = f(x) \) by a factor of 4. This is because multiplying the function by a value greater than 1 (in this case, 4) stretches the graph vertically.
Therefore, the correct response is:
The parent function has been vertically stretched by a factor of 4.
