Answer:
There are at least two transformations that would affect the starting point of a square root: (i) Horizontal translation, (ii) Vertical translation.
Step-by-step explanation:
Let the square be represented by the following function:
[tex]f(x) = \sqrt{x},\,\forall \,x \ge 0[/tex] (1)
Which means that function has only valid solutions for every element of [tex]x[/tex] greater or equal to 0. In particular, the starting point is [tex]x = 0[/tex].
We can change the starting point of this function by horizontal translation, which is defined below:
[tex]g(x) = f(x - a), \,\forall \,x \ge a[/tex] (2)
In other words, we create the resulting function:
[tex]g(x) = \sqrt{x-a}, \,\forall\,x \ge a[/tex] (3)
Another, possibility is using a vertical translation, whose definition is defined below:
[tex]h(x) = f(x)+c,\,\forall \,x \ge 0[/tex] (4)
In other words, we create the following function:
[tex]h(x) = \sqrt{x} +c[/tex] (5)
Hence, there are at least two transformations that would affect the starting point of a square root: (i) Horizontal translation, (ii) Vertical translation.
