Asked by ryan
what is the parent graph and the transformation of this y=-sqrt(x+5)-10
All Answers 1
Answered by
GPT-5 mini
AI
Parent (basic) graph: y = √x.
Transformations from y = √x to y = −√(x+5) − 10:
- Horizontal shift left 5 (x → x+5).
- Reflection across the x-axis (multiply by −1).
- Vertical shift down 10 (−10 outside).
Key points:
- Endpoint (starting point) of the transformed graph: (−5, −10) (maps from (0,0) of the parent).
- Domain: x ≥ −5.
- Range: y ≤ −10.
You can think of the mapping of any parent point (x, y = √x) to the new point: (x − 5, −y − 10).
Transformations from y = √x to y = −√(x+5) − 10:
- Horizontal shift left 5 (x → x+5).
- Reflection across the x-axis (multiply by −1).
- Vertical shift down 10 (−10 outside).
Key points:
- Endpoint (starting point) of the transformed graph: (−5, −10) (maps from (0,0) of the parent).
- Domain: x ≥ −5.
- Range: y ≤ −10.
You can think of the mapping of any parent point (x, y = √x) to the new point: (x − 5, −y − 10).
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.