Questions and Answers
What is a quadratic function?
What is the standard form of a quadratic function?
f(x) = ax^2 + bx + C, where a does not equal 0
What shape does a parabola represent?
The shape of the graph of a quadratic function
What is the axis of symmetry in a parabola?
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What is a vertex in the context of a parabola?
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What does minimum refer to in a parabola?
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What does maximum refer to in a parabola?
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Study Notes
Quadratic Functions
- Nonlinear functions represented in a specific form.
- Standard form: ( f(x) = ax^2 + bx + c ) where ( a \neq 0 ).
Parabola
- The graph shape of a quadratic function, which opens either upward or downward.
Axis of Symmetry
- A vertical line that divides the parabola into two mirror-image halves.
- The equation of the axis of symmetry is given by ( x = -\frac{b}{2a} ).
Vertex
- The point where the axis of symmetry intersects the parabola.
- Represents the highest or lowest point of the graph.
Minimum
- The lowest point of the graph for a parabola that opens upward (( a > 0 )).
- At the vertex of the parabola in this case.
Maximum
- The highest point of the graph for a parabola that opens downward (( a < 0 )).
- Located at the vertex of the parabola in this situation.
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Description
Test your knowledge of key vocabulary in Algebra 1, Chapter 9. This quiz covers essential terms related to quadratic functions, their properties, and graphs. Understand concepts like standard form, parabolas, and symmetry.
