Question

How are the graphs `f(x)=absx` and `g(x)=-9abs(x+1)` related?

Answer 1

See answer below

Explanation:

Given: `f(x) = |x|` and `g(x) = -9|x+1|`

`f(x) = |x|` is the parent function.
Graph of `f(x) = |x|`:

graph{|x| [-10, 10, -5, 5]}

Graph of `g(x) = -9|x+1|`:

graph{-9|x+1| [-10, 10, -5, 5]}

You can see that the graph is reflected about the `x` axis,

shifted horizontally left by `1` and stretched vertically by a factor of `9`.