Question

Which of the following functions shows the quadratic parent function, F(x)=x², vertically compressed?

A. G(x) = (14x)²
B. G(x) = 5x²
C. G(x) = (2.5x)²
D. G(x) = 3/4x²​

Answer 1

Option C). The correct option is G(x) = (2.5x)², which represents the quadratic parent function vertically compressed.

Step-by-step explanation:

The vertical compression of a quadratic function can be achieved by multiplying the coefficient of x² by a value less than 1. Let's analyze the given options:

• G(x) = (14x)²: This option is not vertically compressed since the coefficient of x² is 14, which is greater than 1.
• 
  
• G(x) = 5x²: This option is not vertically compressed since the coefficient of x² is 5, which is equal to 1.
• 
  
• G(x) = (2.5x)²: This option is the vertically compressed quadratic parent function, where the coefficient of x² is 2.5, which is less than 1.
• 
  
• G(x) = 3/4x²: This option is not vertically compressed since the coefficient of x² is 3/4, which is between 0 and 1.

Therefore, the correct answer is C. G(x) = (2.5x)².