Math Problem Statement
Solution
Let's analyze the table and find the correct equation that represents the relationship between and .
The values in the table are:
- For ,
- For ,
- For ,
- For ,
- For ,
It seems that the values are the squares of the corresponding values. Let's confirm that this follows the equation :
This matches perfectly, so the correct equation is .
Thus, the correct answer is A: .
Would you like more details or have any questions?
Here are 5 related questions you might find interesting:
- What happens if we try a different function, like a cubic function, on the same table of values?
- How would the graph of look compared to other quadratic functions like ?
- What are the characteristics of quadratic functions like ?
- Can we solve for given for larger values of ?
- How does the transformation of functions affect the shape of the graph for quadratic equations?
Tip: When analyzing relationships in a table, always check if a simple polynomial (like or ) or other patterns (like linear) match the data points!
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Math Problem Analysis
Mathematical Concepts
Algebra
Quadratic Functions
Formulas
y = x^2
Theorems
Properties of quadratic functions
Suitable Grade Level
Grades 7-9
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