Question

I really need help on this can you please help me thankyou very much !

Answer 1

The parent function f(x) is given by

`f(x)=x^2`

Notice that the transformed function g(x) is reflected over the x-axis.

`g(x)\rightarrow-f(x)`

So, the function g(x) becomes

`g(x)=-x^2`

Also, notice that the transformed function g(x) is vertically stretched.

`g(x)\rightarrow a\cdot f(x)`

For the given case, a = 3

So, the function g(x) becomes

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

Therefore, the correct function is option B

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