The parent function f(x) is given by
[tex]f(x)=x^2[/tex]
Notice that the transformed function g(x) is reflected over the x-axis.
[tex]g(x)\rightarrow-f(x)[/tex]
So, the function g(x) becomes
[tex]g(x)=-x^2[/tex]
Also, notice that the transformed function g(x) is vertically stretched.
[tex]g(x)\rightarrow a\cdot f(x)[/tex]
For the given case, a = 3
So, the function g(x) becomes
[tex]g(x)=-3x^2[/tex]
Therefore, the correct function is option B
[tex]g(x)=-3x^2[/tex]
