Algebra 2
Polynomial and Quadratic Functions flashcards
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- In Quadratic Forms and Features, what does standard form mean?Quadratic Forms and Features
- A quadratic sum form showing the constant term.
- How do you locate its y-intercept?Quadratic Forms and Features
- Set x=0 and evaluate the output.
- In Quadratic Forms and Features, what does factored form mean?Quadratic Forms and Features
- A product form exposing real zeros.
- Why set y=0 to find intercepts?Quadratic Forms and Features
- Every point on the x-axis has output zero.
- In Quadratic Forms and Features, what does vertex form mean?Quadratic Forms and Features
- A form exposing a quadratic turning point.
- Why does the vertex occur at x=h?Quadratic Forms and Features
- The squared factor is zero there.
- In Transformations and Modeling with Quadratics, what does quadratic shift mean?Transformations and Modeling with Quadratics
- The location changes in a transformed parabola.
- Which coordinate does k control?Transformations and Modeling with Quadratics
- The vertex output or vertical shift.
- In Transformations and Modeling with Quadratics, what does feasible vertex mean?Transformations and Modeling with Quadratics
- A vertex checked against practical input restrictions.
- Why inspect domain endpoints?Transformations and Modeling with Quadratics
- A restricted interval may place its optimum at an edge.
- In Transformations and Modeling with Quadratics, what does units in a model mean?Transformations and Modeling with Quadratics
- Interpreting coordinates and units in a quadratic application.
- Can a negative elapsed time fit a launch model?Transformations and Modeling with Quadratics
- Not when time starts at the launch event.
- In Polynomial Functions and End Behavior, what does degree and leading term mean?Polynomial Functions and End Behavior
- The highest nonzero exponent and its coefficient.
- Why ignore lower terms in end behavior?Polynomial Functions and End Behavior
- Their relative influence shrinks as |x| grows.
- In Polynomial Functions and End Behavior, what does even and odd degree mean?Polynomial Functions and End Behavior
- The parity pattern of polynomial end behavior.
- Can lower-degree terms change the end directions?Polynomial Functions and End Behavior
- No, the leading term controls them.
- In Polynomial Functions and End Behavior, what does interpreting graphs mean?Polynomial Functions and End Behavior
- Relating degree to possible graph features.
- Can a degree-four polynomial have five distinct real zeros?Polynomial Functions and End Behavior
- No, it has at most four distinct zeros.
- In Zeros, Multiplicity, and Graph Shape, what does zeros as factors mean?Zeros, Multiplicity, and Graph Shape
- The connection between polynomial zeros and factors.
- How can a proposed zero be checked?Zeros, Multiplicity, and Graph Shape
- Evaluate the polynomial at that input.
- In Zeros, Multiplicity, and Graph Shape, what does even multiplicity mean?Zeros, Multiplicity, and Graph Shape
- A repeated root whose exponent is even.
- Does an even-multiplicity root necessarily cross?Zeros, Multiplicity, and Graph Shape
- No, it generally touches and turns locally.
- In Zeros, Multiplicity, and Graph Shape, what does odd multiplicity mean?Zeros, Multiplicity, and Graph Shape
- A root repeated an odd number of times.
- What does multiplicity count?Zeros, Multiplicity, and Graph Shape
- The exponent on the associated linear factor.
- In Building Polynomial Models, what does constructing from roots mean?Building Polynomial Models
- A polynomial built from known intercepts.
- Why is a scale factor k still needed?Building Polynomial Models
- Roots alone do not fix every y-value.
- In Building Polynomial Models, what does using a point mean?Building Polynomial Models
- Calibrating a root-based polynomial model.
- What if the point is itself a root?Building Polynomial Models
- It may not determine the scale factor.
- In Building Polynomial Models, what does checking a model mean?Building Polynomial Models
- Evaluating a polynomial rule against context and data.
- Why avoid distant extrapolation?Building Polynomial Models
- The fitted behavior may not persist outside observed values.