Question

I don’t understand at all

Answer 1

Answer and Step-by-step explanation:

The parent function, f(x) = |x|, has no transformations applied to it.

When the number is with the x, it translates the graph horizontally. <->

When the number is outside of the absolute box, it translates the graph vertically. ^ V

When the number is multiply the absolute box on the outside with the x inside, it scales the graph.

So, first lets apply the translations of horizontal and vertical shift.

The graph translated 1 units downwards.

The graph translates 2 units to the right.

g(x) = |x - 2| - 1

We subtract the 2 because that makes it go right, while if we added it would go left.

Now for the scale.

The lines have a slope of $\frac{1}{4}$, so that is what we are multiplying.

g(x) = $\frac{1}{4}$|x - 2| - 1

^That is your transformed function.

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