Question

Describe the transformation of f(x)= x2 represented by g. Then graph each function.

Answer 1

There are two tranformations goinf from f(x) to g(x)

Frist, there is a reflection with respect to the x-axis, which is done by changing the sign of the whole function:

`f_1(x)=-f(x)=-x^2`

Next, to get to g(x), ther is a vertical compression of 2, which is done by dividing the whole function by 2:

`g(x)=(f_1\mleft(x\mright))/(2)=-(1)/(2)x^2`

So, to graph it, we can start from f(x):

`f(x)=x^2`

Then reflect and compress like we have done.

We get the function og g(x):

`g(x)=-(1)/(2)x^2`