The graph of the absolute value parent function is vertically stretched by a factor of three, then shifted two units left and five units down.

g(x) = 3*Ix + 2I - 5

Step-by-step explanation:

First, let's define the transformations in a general way.

A vertical stretch of a scale factor A, is written as:

g(x) = A*f(x)

A vertical shift of A units is written as:

g(x) = f(x) + A

if A is positive, the shift is up, if A is negative, the shift is down.

A horizontal shift of A units is written as:

g(x) = f(x - A)

If A is positive, the shift is to the right.

If A is negative, the shift is to the left.

Then we start with the absoulte value parent function f(x) = IxI

"The graph of the absolute value parent function is vertically stretched by a factor of three"

We start with:

g(x) = 3*f(x)

"then shifted two units left"

g(x) = 3*f(x - (-2))

"and five units down."

g(x) = 3*f(x + 2) - 5.

and knowing that f(x) = IxI, we have:

g(x) = 3*Ix + 2I - 5

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step-by-step explanation:

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step-by-step explanation: