Answer:
Explanation:
To write the equation of the given absolute value function, we can start with the standard equation for an absolute value function, which is f(x) = |x|.
To vertically stretch the function by a factor of 4, we multiply the absolute value by 4, giving us f(x) = 4|x|.
To shift the function 6 units to the right, we replace x with (x - 6), resulting in f(x) = 4| x - 6|.
To shift the function 1 unit up, we add 1 to the entire function, giving us the final equation:
f(x) = 4| x - 6| + 1.
Therefore, the equation of the given absolute value function, after being vertically stretched by a factor of 4, shifted 6 units to the right, and shifted 1 unit up, is f(x) = 4| x - 6| + 1