The transformation that converts the graph of f(x)=–|x–3|–9 into the graph of g(x)=–|x–4|+1 involves two steps:

1. Horizontal Shift: The graph is shifted to the right by 1 unit. This is indicated by the change in the expression inside the absolute value from (x-3) in f(x) to (x-4) in g(x).

2. Vertical Shift: The graph is shifted upwards by 10 units. This is indicated by the change in the constant term from -9 in f(x) to +1 in g(x).

So, the transformation involves a horizontal shift to the right by 1 unit and a vertical shift upwards by 10 units.

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The transformation that converts the graph of f(x)=–|x–3|–9 into the graph of g(x)=–|x–4|+1 involves two steps:

1. Horizontal Shift: The graph is shifted to the right by 1 unit. This is indicated by the change in the expression inside the absolute value from (x-3) in f(x) to (x-4) in g(x).

2. Vertical Shift: The graph is shifted upwards by 10 units. This is indicated by the change in the constant term from -9 in f(x) to +1 in g(x).

So, the transformation involves a horizontal shift to the right by 1 unit and a vertical shift upwards by 10 units.

Knowee AI · Accepted Answer

The transformation that converts the graph of f(x)=–|x–3|–9 into the graph of g(x)=–|x–4|+1 involves two steps:

1. Horizontal Shift: The graph is shifted to the right by 1 unit. This is indicated by the change in the expression inside the absolute value from (x-3) in f(x) to (x-4) in g(x).

2. Vertical Shift: The graph is shifted upwards by 10 units. This is indicated by the change in the constant term from -9 in f(x) to +1 in g(x).

So, the transformation involves a horizontal shift to the right by 1 unit and a vertical shift upwards by 10 units.

What kind of transformation converts the graph of f(x)=–|x–3|–9 into the graph of g(x)=–|x–4|+1?

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