Test #9
9-1
1. Quadratic Functions- An equation of the form ax2+bx+c, where a≠0.
2. Standard Form of a Quadratic Function- The standard form of a linear equation is f(x)=ax2+by+c, where a≠0.
3. Parabola- The graph of a quadratic function.
4. Axis of Symmetry- The vertical line containing the vertex of a parabola.
5. Vertex- The maximum or minimum point of a parabola.
6. Minimum- The lowest point on the graph of a curve.
7. Maximum- The highest point on the graph of a curve.
9-2
8. Double Root- The roots of a quadratic function that are the same number.
9-3
9. Transformation- A movement of a geometric figure.
10. Translation- A transformation where a figure is slid from one position to another without being turned.
11. Dilation- A transformation that alters the size of a figure, but not its shape.
12. Reflection- A transformation where a figure, line, or curve, is flipped across a line.
13. Vertex Form- A quadratic function in the form f(x)=a(x-h)2+k.
9-4
14. Completing the Square- Too add a constant term to a binomial of the form x2+bx so that the resulting trinomial is a perfect square.
9-5
15. Quadratic Formula- The solutions of a quadratic equation in the form , where a≠0, are given by the formula .
16. Discriminant- In the Quadratic Formula, the expression under the radical sign, b2-4ac.
9-6 None
9-7
17. Step Function- A function with a graph that is a series of horizontal line segments.
18. Piecewise-Linear Function- A function written using two or more linear expressions.
19. Greatest Integer Function- A step function, written as , where f(x) is the greatest integers less than or equal to x.
20. Absolute Value Function- A function written as f(x)=|x|, in which f(x)≥0 for all values of x.
21. Piecewise-Defined Function- A function that is using two or more expressions.
9-1
1. Quadratic Functions- An equation of the form ax2+bx+c, where a≠0.
2. Standard Form of a Quadratic Function- The standard form of a linear equation is f(x)=ax2+by+c, where a≠0.
3. Parabola- The graph of a quadratic function.
4. Axis of Symmetry- The vertical line containing the vertex of a parabola.
5. Vertex- The maximum or minimum point of a parabola.
6. Minimum- The lowest point on the graph of a curve.
7. Maximum- The highest point on the graph of a curve.
9-2
8. Double Root- The roots of a quadratic function that are the same number.
9-3
9. Transformation- A movement of a geometric figure.
10. Translation- A transformation where a figure is slid from one position to another without being turned.
11. Dilation- A transformation that alters the size of a figure, but not its shape.
12. Reflection- A transformation where a figure, line, or curve, is flipped across a line.
13. Vertex Form- A quadratic function in the form f(x)=a(x-h)2+k.
9-4
14. Completing the Square- Too add a constant term to a binomial of the form x2+bx so that the resulting trinomial is a perfect square.
9-5
15. Quadratic Formula- The solutions of a quadratic equation in the form , where a≠0, are given by the formula .
16. Discriminant- In the Quadratic Formula, the expression under the radical sign, b2-4ac.
9-6 None
9-7
17. Step Function- A function with a graph that is a series of horizontal line segments.
18. Piecewise-Linear Function- A function written using two or more linear expressions.
19. Greatest Integer Function- A step function, written as , where f(x) is the greatest integers less than or equal to x.
20. Absolute Value Function- A function written as f(x)=|x|, in which f(x)≥0 for all values of x.
21. Piecewise-Defined Function- A function that is using two or more expressions.