Question

How do you graph `y=2sqrt(x+2)` and compare it to the parent graph?

Answer 1

Determine and apply the transformations to the base function.

Explanation:

There are two transformations applied to this function.

Compared to the base function: `sqrtx`

graph{sqrtx [-10, 10, -5, 5]}

These transformations are:

• Vertical stretch by a factor of `2`. This is caused by the `a`-value.
• Horizontal translation `2` units to the left. Due to horizontal format of doing the opposite (essentially) of what would normally be done, the function moves.

As a result, we get a function that looks like this:

graph{2sqrt(x+2) [-10, 10, -5, 5]}

If we were to compare this to the parent graph, the transformed function is stretched and "starts" `2` units to the left.

Hope this helps :)