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Consider the function f(x)=x

Describe the transformation of g(x)=2f(x-4)+2

The parent function ____ will undergo ____ transformations. The first transformation is a _____ reflect by a factor of ______. Next, the graph will shift ______ units to the ______. Finally, the graph will shift _____ units ____.

Please help me!

Respuesta :

MrRoyal

The parent function f(x) = x will undergo 3 transformations. The first transformation is vertically stretched by a factor of 2. Next, the graph will shift 4 units to the right. Finally, the graph will shift 2 units up

How to determine the transformation?

The function is given as:

f(x) = x

This represents the parent function.

Start by stretching the function vertically by a factor of 2

This gives

f'(x) = 2x

Next, we shift the graph 4 units to the right

This gives

f''(x) = 2(x - 4)

Finally, we shift the graph 2 units up

This gives

f'''(x) = 2(x - 4) + 2

The number of transformations above is 3

Hence, the complete statement is:

The parent function f(x) = x will undergo 3 transformations. The first transformation is vertically stretched by a factor of 2. Next, the graph will shift 4 units to the right. Finally, the graph will shift 2 units up

Read more about function transformation at

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