The graph of y = StartAbsoluteValue x EndAbsoluteValue is transformed as shown in the graph below. Which equation represents the transformed function?

On a coordinate plane, an absolute value function is shown. The vertex of the function is at (negative 3, negative 2). It crosses the x-axis at (negative 5, 0) and (negative 1, 0) and it crosses the y-axis at (0, 1).
y = StartAbsoluteValue x minus 3 EndAbsoluteValue + 2
y = StartAbsoluteValue x + 3 EndAbsoluteValue minus 2
y = StartAbsoluteValue x minus 2 EndAbsoluteValue + 3
y = StartAbsoluteValue x + 2 EndAbsoluteValue minus 3

The equation is:

Explanation:

The absolute value function is f(x) = |x|.

The vertex of the absolute value function is (0,0). That is its minimum point.

The vertex of the given function is (-3, -2).

That means that the graph of f(x) = |x| was translated 3 units to the left and 2 units downward.

A translation of 3 units to the left and 2 units downward tranforms f(x) into g(x) =  f(x + 3) - 2

Then, the new function will be: g(x) = |x + 3| - 2.

You can prove that that equation represents the three given points:

answer: c. positive form.

step-by-step explanation:

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step-by-step explanation:

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