Question

Describe the change in the graph of the parabola f(x) when it transforms into g(x) = two thirdsf(x).

Answer 1

1) To grasp the idea say that f(x)=x² (the quadratic parent function) and then let's plug into g(x)=2/3f(x), i.e. g(x)=2/3x²

2) Note that since 2/3 is lesser than 1 then what happens here is a compression of the parabola.

3) And based on that, we can examine the options and tell that the transformation happens this way:

And therefore the answer is: