The transformation that converts the graph of f(x)=|x|+1 into the graph of g(x)=7|x|+7 is a vertical stretch by a factor of 7 and a vertical shift upwards by 6 units.

Here's the step-by-step explanation:

1. Vertical Stretch: The coefficient of |x| in g(x) is 7, which is 7 times the coefficient of |x| in f(x). This means the graph of f(x) is stretched vertically by a factor of 7 to get the graph of g(x).

2. Vertical Shift: The constant term in g(x) is 7, which is 6 more than the constant term in f(x). This means the graph of f(x) is shifted upwards by 6 units to get the graph of g(x).

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The transformation that converts the graph of f(x)=|x|+1 into the graph of g(x)=7|x|+7 is a vertical stretch by a factor of 7 and a vertical shift upwards by 6 units.

Here's the step-by-step explanation:

1. Vertical Stretch: The coefficient of |x| in g(x) is 7, which is 7 times the coefficient of |x| in f(x). This means the graph of f(x) is stretched vertically by a factor of 7 to get the graph of g(x).

2. Vertical Shift: The constant term in g(x) is 7, which is 6 more than the constant term in f(x). This means the graph of f(x) is shifted upwards by 6 units to get the graph of g(x).

Knowee AI · Accepted Answer

The transformation that converts the graph of f(x)=|x|+1 into the graph of g(x)=7|x|+7 is a vertical stretch by a factor of 7 and a vertical shift upwards by 6 units.

Here's the step-by-step explanation:

1. Vertical Stretch: The coefficient of |x| in g(x) is 7, which is 7 times the coefficient of |x| in f(x). This means the graph of f(x) is stretched vertically by a factor of 7 to get the graph of g(x).

2. Vertical Shift: The constant term in g(x) is 7, which is 6 more than the constant term in f(x). This means the graph of f(x) is shifted upwards by 6 units to get the graph of g(x).

What kind of transformation converts the graph of f(x)=|x|+1 into the graph of g(x)=7|x|+7?

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