Math Problem Statement
gambarkan saya grafik a. x=-√4-y² b. x=3+√4-y²
Solution
Here is the graph of the two equations:
a. (in blue)
b. (in red)
These equations form semicircles. The first equation (blue) is positioned to the left of the origin, while the second (red) is shifted to the right by 3 units.
Do you need any details or explanations about these graphs?
Here are 5 related questions for further exploration:
- What are the domain and range for each equation?
- How do transformations affect the shape and position of these curves?
- Can you describe how the curves change if the coefficients inside the square roots are modified?
- What would happen if we squared both sides of the equations?
- How would you describe these shapes in a real-world context?
Tip: For graphing equations with square roots, always check the domain restrictions to avoid plotting undefined points.
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Math Problem Analysis
Mathematical Concepts
Algebra
Geometry
Graphing
Semicircles
Square Root Functions
Formulas
x = -√(4 - y²)
x = 3 + √(4 - y²)
Theorems
Transformation of functions
Domain and Range
Suitable Grade Level
Grades 10-12
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