Using the parent fraction F(x) , write the new function , g(x) that transforms f (x) With a vertical reflection and shifting four units down
parent fraction? get real, guy.
g(x) = -f(x) - 4
To transform the function f(x) with a vertical reflection and shifting four units down, you can follow these steps:
1. Start with the parent function f(x).
2. Apply the vertical reflection by multiplying f(x) by -1. This is done by placing a negative sign in front of the fraction. So, the reflected function is -f(x).
3. Then, shift the resulting function four units down. This is achieved by subtracting 4 from the whole function. So, the final transformed function g(x) is:
g(x) = -f(x) - 4
By following these steps, you can obtain the new function g(x) that is a vertical reflection of f(x) and shifted four units down.
To transform the parent fraction function, f(x), with a vertical reflection and shifting four units down, you can follow these steps:
1. Start with the parent fraction function, f(x), which is typically written as f(x) = 1/x. This function has a graph that is a hyperbola.
2. Apply a vertical reflection by multiplying the parent function by -1. This flips the graph or function over the x-axis. So, the new function, g(x), after the vertical reflection will be -f(x).
3. Next, shift the reflected function four units down. To shift vertically downward, you subtract a constant value from the function. In this case, subtract 4 from the reflected function. Thus, the new function, g(x), after the vertical reflection and shifting four units down will be -f(x) - 4.
Therefore, the new function g(x) that transforms f(x) with a vertical reflection and shifting four units down is g(x) = -f(x) - 4, where f(x) = 1/x.