Question

Create a square root with at least 3 transformations

Describe how your function has been transformed from the parent function f(x) = √x

Answer 1

Explanation:

Start with f(x) = √x.

1) Multiplying this by "c" will either stretch or shrink the graph: stretch, if "c" is > 0; shrink, if 0 < c < 1.

2) Replacing 'x' with 'x - h' will translate the original graph h units to the right, if h is positive;

Replacing 'x' with 'x - h' will translate the original graph h units to the left, if h is negative.

3) Adding k to f(x) = √x will translate the graph upward by k units if k is positive and downward by k units if k is negative.