Thursday, September 15, 2011

Day 4 Quadratic Functions

Hi everyone! It's Shelly Gutierrez from your 30S pre-cal class, and im here to talk about what we learned in class today.

In class we learned about Quadratic Functions. Quadratic Functions is one of the important functions, noted as: y=ax^2+bx+c (with a,b,and c being real numbers and having a not equaling to zero.)

example:
1x5=5
2x4=8
3x3=9
4x2=8
5x1=5

We also learned about Vertex of a Quadratic Function, Axis of Symmetry of a Quadratic Function,  and what Intercepts are.

A Vertex of a Quadratic Function is the coordinate where the turning point of the parabola is, which would be the highest or lowest point on the graph.

The Axis of Symmetry of a Quadratic Function is a vertical line that can run through the middle of the parabola.

There are 2 types of Intercepts that relate to a quadratic function. The x-intercept is the coordinate where the parabola passes through the x-axis, and the y-intercept is the coordinate where the parabola passes through the y-axis.

The maximum and minimum value is the highest/lowest number on the turning point of the parabola.



examples:

The vertex is: (0,-4)
The Axis of Symmetry is: x=-4
The x-intercept is: x=-2, x=2
The minimum is:-4

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