Questions On The Axis Of Symmetry

1683 Words7 Pages
Table of Contents
Page 1 …………………………………………. Table of contents
Page 2 & 3 …………………………………………….. characteristics
Page 4 ….……………………………….………..parent functions
Page 5 ………………………………………………….vertex Form
Page 6 ……………………………………………… Standard form
Page 7…………………………………………………..Factoring
Page 8 & 9…………………………………….Completing the square
Page 10………………………………………..Imaginary Numbers
Page 11 & 12 ………………Complex Numbers & Complex Operations
Page 13 ….……………………………….... Quadratic Formulas
Characteristics
Axis of Symmetry Axis of symmetry is a line going through a graph that separates the parabola into two.
The axis of symmetry ia a vertical line through the vertex of the functions graph. The quadratic function has the axis of symmetry x=h
Example
Every parabola has an axis of symmetry, the line that runs down its center.The line divides the graph into two perfect halves. In the picture the axis of symmetry is line x=1 Vertex
If a parabola opens upward, it has a lowest point. If a parabola opens downward, it has a highest point. This lowest or highest point is called the Vertex of a parabola
The standard equation of a parabola is
But the equation for a parabola can also be written in "vertex form"
Example:
Find the vertex of the parabola.

y = 3x2 + 12x – 12

So, the x-coordinate of the vertex is:

a = 3 and b = 12.

Substituting in the original equation to get the y-coordinate, we get:

y = 3(–2)2 + 12(–2) – 12 = –24

So, the vertex of the parabola is at (–2, –24).

Zero of a function
A
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