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,

$g(x)=\frac{-2}{3}x^2$

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

$g(x)=-\frac{2}{3}f(x)$

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.