Question

Question is in image

Answer 1

The function f(x) is given by,

`f(x)=x^2`

The function g(x) is given by,

`g(x)=(-2)/(3)x^2`

If f(x) becomes -kf(x), where 0Comparing the above functions, we get

`g(x)=-(2)/(3)f(x)`

So, k=2/3. Hence, 0 < 2/3 < 1.

Therefore, the graph of g(x) is the graph of f(x) compressed vertically and reflected across the x axis.

Hence, option D is correct.