Question

Given the graph of a function f.A) graph f(x) -3B) graph f(x+4)C) graph -f(x)

Answer 1

The graph of function f is the cube root of x. This means that the original function is

`f(x)\text{ = }\sqrt[3]{x}`

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