The transformation that converts the graph of f(x)=2|x|+2 into the graph of g(x)=8|x|+8 is a vertical stretch by a factor of 4.

Here's the step-by-step explanation:

1. Look at the equations of the two functions. The function f(x) is 2|x|+2 and the function g(x) is 8|x|+8.

2. Compare the coefficients of |x| in the two functions. In f(x), the coefficient is 2, and in g(x), the coefficient is 8.

3. The ratio of the coefficients is 8/2 = 4. This means that the graph of f(x) has been stretched vertically by a factor of 4 to get the graph of g(x).

4. The "+2" and "+8" in the equations do not affect the vertical stretch. They shift the graph up or down but do not change the shape of the graph.

So, the transformation from f(x) to g(x) is a vertical stretch by a factor of 4.

Question

The transformation that converts the graph of f(x)=2|x|+2 into the graph of g(x)=8|x|+8 is a vertical stretch by a factor of 4.

Here's the step-by-step explanation:

1. Look at the equations of the two functions. The function f(x) is 2|x|+2 and the function g(x) is 8|x|+8.

2. Compare the coefficients of |x| in the two functions. In f(x), the coefficient is 2, and in g(x), the coefficient is 8.

3. The ratio of the coefficients is 8/2 = 4. This means that the graph of f(x) has been stretched vertically by a factor of 4 to get the graph of g(x).

4. The "+2" and "+8" in the equations do not affect the vertical stretch. They shift the graph up or down but do not change the shape of the graph.

So, the transformation from f(x) to g(x) is a vertical stretch by a factor of 4.

Knowee AI · Accepted Answer

The transformation that converts the graph of f(x)=2|x|+2 into the graph of g(x)=8|x|+8 is a vertical stretch by a factor of 4.

Here's the step-by-step explanation:

1. Look at the equations of the two functions. The function f(x) is 2|x|+2 and the function g(x) is 8|x|+8.

2. Compare the coefficients of |x| in the two functions. In f(x), the coefficient is 2, and in g(x), the coefficient is 8.

3. The ratio of the coefficients is 8/2 = 4. This means that the graph of f(x) has been stretched vertically by a factor of 4 to get the graph of g(x).

4. The "+2" and "+8" in the equations do not affect the vertical stretch. They shift the graph up or down but do not change the shape of the graph.

So, the transformation from f(x) to g(x) is a vertical stretch by a factor of 4.

What kind of transformation converts the graph of f(x)=2|x|+2 into the graph of g(x)=8|x|+8?

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