Question

Quadratics question?

Answer 1

From the unchanging zeros and the halving of the height, it appears `g(x) = 1/2 f(x)`, choice b.

Explanation:

When we scale the argument, like in `f(2x)` or `f(x/2)`, that stretches or compresses in the `x` direction, which isn't happening here.

When we scale like `1/2 f(x)` or `2 f(x)` that compresses or stretches in the `y` direction. That seems like what's going on.

The function is unchanged when `f(x)=0` (around `x=-8` and `x=0`) which is consistent with `y` scaling.

The height at the apex at `x=4` went from `3` to `3/2` indicative of a `y` scale factor of `1/2`. That looks right in general.

So it appears `g(x) = 1/2 f(x)`, choice b.