Question

The function h(x) is a transformation of the square root parent function,

f(3) = v. What function is h(x)?

Answer 1

The equation of the transformed function is:

`h\left(x\right)\:=\:√(x-3)`

Explanation:

We know that horizontal translation is of the form

• f(x-h)

where h is a constant

• When 'h' is positive, the function is shifted to the right.

• When 'h' is negative, the function is shifted to the left.

From the given function, it is clear that h(x) is the horizontal translation. In other words, h(x) is the result of the horizontal shift of 3 units to the right.

Thus, the equation of the transformed function is:

`h\left(x\right)\:=\:√(x-3)`