Across
- 3. a second-degree polynomial equation in a single variable
- 6. a mutual, shared, or corresponding action/feeling between two parties, meaning "given in return"
- 9. an algebraic equation where each term is either a constant or a variable raised to the first power, forming a straight line when graphed
- 12. a surface, line, or terrain that lies at an angle to the horizontal, representing its steepness
- 13. describing the standard ways to write a quadratic function and identifying higher-degree equations that can be solved using quadratic methods
- 15. the "input" of a function. It is the value you can freely choose or manipulate to see how it affects another value
- 17. the simplest, most basic form of a specific family of functions, representing the core characteristics without any modifications
- 18. the non-negative distance of a number from zero on a number line
- 19. the trend of a graph's \(y\)-values as \(x\) approaches positive or negative infinity (the far right or left ends). It is determined by the leading term of a polynomial
- 20. a mathematical expression consisting of variables (also called indeterminates) and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.
Down
- 1. a value that, when multiplied by itself, produces the original number
- 2. a numerical or constant factor that multiplies a variable in an algebraic term
- 4. a numerical measure ranging from -1 to +1 that defines the strength and direction of a linear relationship between two variables
- 5. an algebraic process that alters a parent function's graph—shifting, stretching, compressing, or reflecting it—while maintaining its basic shape
- 7. mathematical statement that compares two linear expressions using inequality symbols (<,>)
- 8. mathematical function where the independent variable (\(x\)) appears in the exponent of a constant base
- 10. a specific way of writing a quadratic equation that makes it easy to identify the vertex (the highest or lowest point) of its parabola
- 11. the part of the quadratic formula located under the square root symbol
- 14. a single-term function where a variable (the base) is raised to a fixed real number (the exponent) and then multiplied by a constant (the coefficient)
- 16. a U-shaped curve that represents the graph of a quadratic relation