Question

For the function defined by , if x is doubled, what is the effect on y? a. y is quartered c. y stays the same b. y is doubled d. y is tripled  

Answer 1

The function is 
y = $\frac{1}{x^{2} }$ ----1.

Plug x = 2x in 1.
∴y` = $\frac{1}{(2x)^{2} } = \frac{1}{4x^{2} }$ ----- 2.

Divide 1 and 2. You will get,

y = 4 y`
Therefore, y is quartered