The graph of function f is the cube root of x. This means that the original function is
[tex]f(x)\text{ = }\sqrt[3]{x}[/tex]
A) If a function, f(x) is translated d units downwards, the new function would be
f(x) - d
This means that f(x) - 3 is a translation of f(x) 3 units downwards. The graph is shown below
B) If a function, f(x) is translated d units to the left, the new function would be
f(x + d)
This means that f(x + 4) is a translation of f(x) 4 units to the left. The graph is
shown below
C) If a function, f(x) is reflected over the x axis, the new function would be
- f(x)
This means that - f(x) is a reflection of f(x) over the x axis . The graph is
