"Graphics and Properties of Quadratic Functions" Quadratic Function PPT Courseware 3

Description

"Graphics and Properties of Quadratic Functions" Quadratic Function PPT Courseware 3

1. It is known that the parabola y=ax2+bx+c

When x=1, y=0, then a+b+c=0

After passing the point (-1,0), then a-b+c=0

After passing the point (0,-3), then c=-3

After passing point (4,5), then 16a+4b+c=5

The axis of symmetry is the straight line x=1, then -b/2a=1

2. It is known that parabola y=a(x-h)2+k

The vertex coordinate is (-3,4), then h=_____,k=______,

Substitute and get y=a(x+3)2+4

The axis of symmetry is the straight line x=1, then h=1

Substitute and get y=a(x-1)2+k

Several commonly used analytical expressions for quadratic functions

General formula y=ax2+bx+c (a≠0)

Given three pairs of corresponding values ​​of three point coordinates, select the general formula

Vertex formula y=a(x-h)2+k (a≠0)

Known the vertex coordinates or axis of symmetry or maximum value, select the vertex formula

Intersection formula y=a(x-x1)(x-x2) (a≠0)

Given the coordinates of the two intersection points of the parabola and the x-axis, select the intersection formula

When using the undetermined coefficient method to determine the analytical expression of a quadratic function, a function expression should be appropriately selected based on the characteristics of the conditions.

Keywords: Quadratic function courseware, Quadratic function graph and properties courseware, New People's Education Edition ninth grade mathematics PPT courseware, Ninth grade mathematics slide courseware download, Quadratic function PPT courseware download, Quadratic function graph and properties PPT courseware download, .ppt format

For more information about the "Quadratic Function Graphics and Properties of Quadratic Functions" PPT courseware, please click the Quadratic Function ppt Graphics and Properties of Quadratic Functions ppt tag.

"Graphics and Properties of Quadratic Functions" Quadratic Function PPT Courseware 2:

"Graphics and Properties of Quadratic Functions" Quadratic Function PPT Courseware Knowledge Review 1. What are the characteristics of the graph of a linear function? The graph of a linear function is a straight line. When k0, y increases as x increases; when k0, y decreases as x increases..

"Graphics and Properties of Quadratic Functions" Quadratic Function PPT courseware:

"Graphics and Properties of Quadratic Functions" Quadratic Function PPT Courseware Knowledge Review 1. What is the general form of a quadratic function? y=ax+bx+c (abc is the constant a 0) The graph of quadratic function y = x2 is a curve, its shape is similar to the path of the ball in the air when shooting...

File Info

Update Time: 2024-11-17

This template belongs to Mathematics courseware People's Education Press Ninth Grade Mathematics Volume 1 industry PPT template

Preview