If we multiply the given function by k = -3, the graph will become narrower and it will open downwards.
How does the graph change?
When we have a function f(x), and we multiply it by a scalar k, the things that happen are:
- if k > 0, the direction of the graph does not changes.
- if k < 0, the direction of the graph changes.
And about the absolute value we have:
- if |k| > 1, the graph gets narrower.
- if |k| < 1, the graph becomes wider.
In this particular case, the original function is:
f(x) = a*|x|
Where a is positive, so it opens upwards.
And then we multiply it by k = -3.
The sign is negative, so now the graph will open downwards, and the absolute value is larger than 1, so it becomes narrower.
So the correct option is the first one: "narrower and opens downwards".
If you want to learn more about graphs:
https://brainly.com/question/4025726
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