Question

Outside the function

Answer 1

The coordinate notation that describes the function transformation is:

$(x,y) \to (A(x - C)+D, y)$

The function notation is given as:

$g(x) = A\cdot f(x - C) + D$

Function transformation

This involves changing the position and form of a function in a coordinate plane

To represent the above transformation using the coordinate notation, we start by shifting the function f(x) C units right.

So, we have:

$(x,y) \to (x - C, y)$

Next, we stretch the resulting function by factor A.

So, we have:

$(x,y) \to (A(x - C), y)$

Lastly, we shift the resulting function up by D units

$(x,y) \to (A(x - C)+D, y)$

Hence, the coordinate notation that describes the function transformation is:

$(x,y) \to (A(x - C)+D, y)$

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