Quadratic Functions

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Quadratic Functions by Mind Map: Quadratic Functions

1. Vertex of Parabola- The vertex of a parabola is the point where the parabola crosses its access of symmetry Example:y=a(x-h)2+k

2. Vertex Form Example: f(x)=a(x-h)2+k

3. Axis of Symmetry- A line of symmetry for a graph Example: y=x2-4x+2

4. Minimum Value-is a place where a graph has a vertex at its lowest point Example:f(x) = 2(x - 2)2 + 5

5. Variable- is a quantity that may change within the context of a mathematical problem or experiment Example: x

6. Vertex-each angular point Example: corner or a point where lines meet

7. Compression ratio- is the ratio of the volume of the cylinder and the combustion chamber when the piston is at the bottom Example: a car engine

8. Parent Function- is the simplest function of a family of functions Example:

9. Quadratic function-is a form of where a,b, and c are numbers not equal to zero Example:f(x)=ax2+bx+c

10. Parabola-a symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side Example:f(x)=x2

11. Standard Form- is a way of writing down very small or very large numbers easily Example:4 times 10 squared

12. Maximum Value-the value of a function at a certain point in its domain Example:The maximum and minimum are the simplest order statistics.

13. Transformed function-a transformation is a function f that maps a set X to itself Example: f (x) – b is f (x) moved down b units

14. Linear-progressing from one stage to another in a single series of steps Example:. y = f(x) = a + bx

15. Vertical Compression- When you multiply a function by a positive a you will be performing either a vertical compression or vertical stretching of the graph