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Quadratic Functions flashcards
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- What does parent function mean?Parabolas and Transformations
- The baseline quadratic graph used for transformations.
- What is its least output over real x?Parabolas and Transformations
- Zero.
- How would you define horizontal and vertical shifts?Parabolas and Transformations
- Moving a parabola without changing its basic shape.
- Why does x−h shift right for positive h?Parabolas and Transformations
- The squared term becomes zero at x=h.
- What is meant by stretch and reflection?Parabolas and Transformations
- The effect of the leading multiplier on a parabola.
- Does negative a move the vertex by itself?Parabolas and Transformations
- No, it changes opening direction.
- What does vertex mean?Vertex and Axis
- The point where the graph switches direction.
- What does k represent in vertex form?Vertex and Axis
- The vertex y-coordinate.
- How would you define axis of symmetry?Vertex and Axis
- The mirror line of a vertical parabola.
- Do symmetric points share the same output?Vertex and Axis
- Yes, for equal offsets from h.
- What is meant by minimum and maximum?Vertex and Axis
- The extremum determined by opening direction.
- Why state the domain?Vertex and Axis
- A restricted input interval can change the contextual extremum.
- What does factored form mean?Intercepts and Forms
- A product form displaying x-intercepts.
- What if both roots are the same?Intercepts and Forms
- The graph touches the axis at a repeated root.
- How would you define quadratic standard form?Intercepts and Forms
- A sum form displaying the constant and y-intercept.
- Does c always describe a physical start?Intercepts and Forms
- Only if x=0 is meaningful in the domain.
- What is meant by converting quadratic forms?Intercepts and Forms
- Rewriting a quadratic without changing its graph.
- Why use vertex form?Intercepts and Forms
- It makes the turning point easy to read.
- What does quadratic optimization mean?Maximum and Minimum Models
- Using a quadratic turning point for a best or worst value.
- Can an algebraic vertex lie outside a contextual domain?Maximum and Minimum Models
- Yes, so it may not be the feasible optimum.
- How would you define units and meaning?Maximum and Minimum Models
- Interpreting both coordinates of an extremum.
- Why not report only the vertex number?Maximum and Minimum Models
- A vertex is an ordered pair with two meanings.
- What is meant by model limitations?Maximum and Minimum Models
- Respecting domain and evidence in an optimization claim.
- Why restrict a projectile model to nonnegative time?Maximum and Minimum Models
- Negative elapsed time is outside the described event.
- What does first differences mean?Comparing Linear, Exponential, and Quadratic
- A constant additive rate across equal input intervals.
- Can a finite table alone prove a unique formula?Comparing Linear, Exponential, and Quadratic
- No, many functions can match finitely many rows.
- How would you define second differences?Comparing Linear, Exponential, and Quadratic
- A constant difference of first differences.
- Why require equal input spacing?Comparing Linear, Exponential, and Quadratic
- The simple difference test assumes equal steps.
- What is meant by ratios and context?Comparing Linear, Exponential, and Quadratic
- A constant multiplicative rate across equal time steps.
- Why compare units and domain as well as patterns?Comparing Linear, Exponential, and Quadratic
- A numerical pattern may be unreasonable outside its context.