Question

PLEASE HELP!!!!!

The graph of g(x) is a translation of y = 3 square root of x
Which equation represents g(x)?

g(x) = 3 square root of x-4
g(x) = 3 square root of x+4
g(x) = 3 square root of x+1.5
g(x) = 3 square root of x-1.5

Answer 1

Is there any picture of the graph your looking for g(x)?

Answer 2

Here we do not have the image, but i will try to give a explanation about this type of problem.

When we have the function f(x), the graph of the function h(x) = f(x - x0) means that the graph is displaced by x0 units to the right.

This is because the value of f(x = 0) is equivalent to h( x = x0), but the first one corresponds to the pair (0, f(0)) and the other corresponds to (x0, f(0))

This means that:

g(x) = 3√(x - 4) is displaced 4 units to the right.

g(x) = 3√(x + 4) = g(x) = 3√(x - (-4)) is diplaced 4 units to the left.

g(x) = 3√(x - 1.5) is displaced 1.5 units to the right.

g(x) = 3√(x + 1.5) is displaced 1.5 units to the left.