Question

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

f(t) = t. What function is H(x)?

Answer 1

A.
`h(x)=√(x-3)`

Explanation:

Step 1: Definition

The parent function of
`√(x)` is translated to the left when
`h` is positive in the transformation
`√(x+h)`.

If
`h` is negative, the graph translates towards the left with the distance equal to the value of
`h`.

Step 2: Implementation

Here the graph moved 3 units towards the right. This means that
`h` is negative and has the value of 3.

So, plugging that into the parent function for translation, the function becomes:

`h(x)=√(x-3)`