The equation that represents the new graph is:
g(x) = -√(x - 3) + 4
How to write the transformed function?
For a given function h(x), a horizontal shift of N units is written as:
g(x) = h(x + N)
Such that:
- If N > 0, then the shift is to the left.
- If N < 0, then the shift is to the right.
A vertical shift of N is written as:
g(x) = h(x) + N
Such that:
- If N > 0, the shift is upwards.
- If N < 0, the shift is downwards.
So if we shift 4 units up and 3 units to the right, we have:
g(x) = h(x - 3) + 4.
Replacing h(x) = -√x, we get:
g(x) = -√(x - 3) + 4
If you want to learn more about transformations:
https://brainly.com/question/4289712
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