3 answers
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stretch: 4sin(x)
shift: 4sin(x-3)
shift: 4sin(x-3)
Firstly, let's consider the vertical stretching. When a function is stretched vertically by a factor of "a", we multiply the function by that factor. In this case, the function is stretched vertically by a factor of 4.
So, the stretched function is 4*f(x) or 4*sin(x).
Next, let's look at the horizontal shifting. Shifting a function "a" units to the right is achieved by replacing "x" with "(x - a)" in the function. In this case, the function is shifted right by 3 units.
Therefore, the final equation of the new function g(x) is:
g(x) = 4*sin(x - 3)
The function g(x) is the result of vertically stretching the function sin(x) by a factor of 4 and shifting it 3 units to the right.