Question

How are the graphs `f(x)=absx` and `g(x)=7absx-0.4` related?

Answer 1

g(x)=7f(x)-0.4

Explanation:

If (x, y) is on y=f(x), (`x, 7y-0.4)` is on y = g(x).

For example, `(-1, 1)` is on y = f(x).

`(-1, 7|-1|-0,4)=(-1, 6.6)` will be on y = g(x).

The vertices are (0, 0) and(0, -0.4) respectively.

So, the second makes x-intercepts `+-0.4/7`.

graph{y-|x|=0 [-10, 10, -5, 5]}
graph{y-7|x|+0.4=0 [-10, 10, -5, 5]}